Juan de Dios Pérez
Juan de Dios Pérez
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Juan de Dios Pérez has a total of 34 co-authors. Here are the top co-authors by number of shared publications:
- Young Jin Suh
Department of Mathematics and RIRCM, Kyungpook National University, Daegu, Republic of Korea
15 shared publications - David Pérez-López
Universidad Politécnica de Madrid
13 shared publications - George Kaimakamis
Faculty of Mathematics and Engineering Sciences, Hellenic Army Academy, Vari, 16673 Attiki, Greece
10 shared publications - Konstantina Panagiotidou
Faculty of Mathematics and Engineering Sciences, Hellenic Army Academy, Vari, 16673 Attiki, Greece
8 shared publications - Young Jin Suh
Kyungpook National University
8 shared publications Young Jin Suh
5 shared publications
Latest Publications
- 15 September 2026
- Published by Springer Nature in Journal of Geometry
- Vol. 117 (3) , 36
Some characterizations of type (A) real hypersurfaces in complex projective space
- 15 September 2026
- Published by Springer Nature in Journal of Geometry
- Vol. 117 (3) , 36
Some characterizations of type (A) real hypersurfaces in complex projective space
- 3 September 2026
- Published by Springer Nature in Mediterranean Journal of Mathematics
- Vol. 23 (6) , 195
Some Conditions on the h-Operator of a Real Hypersurface in Complex Projective Space
- 3 September 2026
- Published by Springer Nature in Mediterranean Journal of Mathematics
- Vol. 23 (6) , 195
Some Conditions on the h-Operator of a Real Hypersurface in Complex Projective Space
- Open Access
- 28 January 2026
- Published by Walter de Gruyter GmbH in Mathematica Slovaca
- Vol. 76 (1) , 245-252
New conditions on two tensors associated to the structure Jacobi operator of a real hypersurface in complex projective space
A real hypersurface M in a complex projective space inherits an almost contact metric structure from the Kählerian structure of the ambient space that allows us to define, for any nonnull real number k , the so-called k th generalized Tanaka-Webster connection. With this connection and the Levi-Civita one we can associate two tensors of type (1,2) to the structure Jacobi operator R ξ of M . Following Tachibana, [“Analytic tensor and its generalization,” Tohoku Math. J. , vol. 12, pp. 208–221, 1960] we classify real hypersurfaces in complex projective space for which any of such tensors is either pure or hybrid with respect to the structure operator ϕ .
- 28 January 2026
- Published by Walter de Gruyter GmbH in Mathematica Slovaca
- Vol. 76 (1) , 245-252
Open AccessNew conditions on two tensors associated to the structure Jacobi operator of a real hypersurface in complex projective space
A real hypersurface M in a complex projective space inherits an almost contact metric structure from the Kählerian structure of the ambient space that allows us to define, for any nonnull real number k , the so-called k th generalized Tanaka-Webster connection. With this connection and the Levi-Civita one we can associate two tensors of type (1,2) to the structure Jacobi operator R ξ of M . Following Tachibana, [“Analytic tensor and its generalization,” Tohoku Math. J. , vol. 12, pp. 208–221, 1960] we classify real hypersurfaces in complex projective space for which any of such tensors is either pure or hybrid with respect to the structure operator ϕ .
- Open Access
- 16 July 2025
- Published by Springer Nature in Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
- Vol. 119 (4) , 1-10
Commutativity of the h-operator and two other operators on a real hypersurface in complex projective space
The almost contact metric structure on a real hypersurface M in complex projective space allows to define on M, for any nonnull real number k and any operator B, two tensor fields of type (1,2) denoted by $$B_F^{(k)}$$ and $$B_T^{(k)}.$$ We will classify real hypersurfaces in complex projective space for which the h-operator satisfies that either $$h_F^{(k)}=0$$ or $$h_T^{(k)}=0.$$- 16 July 2025
- Published by Springer Nature in Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
- Vol. 119 (4) , 1-10
Open AccessCommutativity of the h-operator and two other operators on a real hypersurface in complex projective space
The almost contact metric structure on a real hypersurface M in complex projective space allows to define on M, for any nonnull real number k and any operator B, two tensor fields of type (1,2) denoted by $$B_F^{(k)}$$ and $$B_T^{(k)}.$$ We will classify real hypersurfaces in complex projective space for which the h-operator satisfies that either $$h_F^{(k)}=0$$ or $$h_T^{(k)}=0.$$ - Open Access
- 29 June 2025
- Published by Springer Nature in Journal of Geometry
- Vol. 116 (2) , 1-12
New conditions on some derivatives of the structure Lie operator on a real hypersurface in complex projective space
Let M be a real hypersurface in complex projective space equipped with both the Levi-Civita and kth generalized Tanaka-Webster connections, for any nonnull real number k. For any operator B on M we can define two tensor fields of type (1,2) on M, $$\displaystyle B_F^{(k)}$$ and $$\displaystyle B_T^{(k)}$$ , related to both connections. In the particular case of $$\displaystyle B=L$$ , the structure Lie operator on M, we study purity and hybridness of $$\displaystyle L_F^{(k)}$$ and $$\displaystyle L_T^{(k)}$$ with respect to the structure operator $$\displaystyle \phi $$ .- 29 June 2025
- Published by Springer Nature in Journal of Geometry
- Vol. 116 (2) , 1-12
Open AccessNew conditions on some derivatives of the structure Lie operator on a real hypersurface in complex projective space
Let M be a real hypersurface in complex projective space equipped with both the Levi-Civita and kth generalized Tanaka-Webster connections, for any nonnull real number k. For any operator B on M we can define two tensor fields of type (1,2) on M, $$\displaystyle B_F^{(k)}$$ and $$\displaystyle B_T^{(k)}$$ , related to both connections. In the particular case of $$\displaystyle B=L$$ , the structure Lie operator on M, we study purity and hybridness of $$\displaystyle L_F^{(k)}$$ and $$\displaystyle L_T^{(k)}$$ with respect to the structure operator $$\displaystyle \phi $$ . - Open Access
- 23 April 2024
- Published by International Electronic Journal of Geometry, Person (Kazim ILARSLAN) in International Electronic Journal of Geometry
- Vol. 17 (1) , 221-231
New Results on Derivatives of the Shape Operator of Real Hypersurfaces in the Complex Quadric
A real hypersurface $M$ in the complex quadric $Q^{m}=SO_{m+2}/SO_mSO_2$ inherits an almost contact metric structure . This structure allows to define, for any nonnull real number $k$, the so called $k$-th generalized Tanaka-Webster connection on $M$, $\hat{\nabla}^{(k)}$. If $\nabla$ denotes the Levi-Civita connection on $M$, we introduce the concepts of $(\hat{\nabla}^{(k)},\nabla)$-Codazzi and $(\hat{\nabla}^{(k)},\nabla)$-Killing shape operator $S$ of the real hypersurface and classify real hypersurfaces in $Q$ satisfying any of these conditions.- 23 April 2024
- Published by International Electronic Journal of Geometry, Person (Kazim ILARSLAN) in International Electronic Journal of Geometry
- Vol. 17 (1) , 221-231
Open AccessNew Results on Derivatives of the Shape Operator of Real Hypersurfaces in the Complex Quadric
A real hypersurface $M$ in the complex quadric $Q^{m}=SO_{m+2}/SO_mSO_2$ inherits an almost contact metric structure . This structure allows to define, for any nonnull real number $k$, the so called $k$-th generalized Tanaka-Webster connection on $M$, $\hat{\nabla}^{(k)}$. If $\nabla$ denotes the Levi-Civita connection on $M$, we introduce the concepts of $(\hat{\nabla}^{(k)},\nabla)$-Codazzi and $(\hat{\nabla}^{(k)},\nabla)$-Killing shape operator $S$ of the real hypersurface and classify real hypersurfaces in $Q$ satisfying any of these conditions. - Open Access
- 1 January 2024
- Published by Walter de Gruyter GmbH in Open Mathematics
- Vol. 22 (1)
Purity and hybridness of two tensors on a real hypersurface in complex projective space
On a real hypersurface M M in complex projective space, we can define two tensor fields of type (1, 2), A F ( k ) {A}_{F}^{\left(k)} and A T ( k ) {A}_{T}^{\left(k)} , associated with the shape operator A A of the real hypersurface, for any nonnull real number k k . Following Tachibana [Analytic tensor and its generalization, Tohoku Math. J. 12 (1960), 208–221], we study the purity and hybridness of such tensors with respect to A A .
- 1 January 2024
- Published by Walter de Gruyter GmbH in Open Mathematics
- Vol. 22 (1)
Open AccessPurity and hybridness of two tensors on a real hypersurface in complex projective space
On a real hypersurface M M in complex projective space, we can define two tensor fields of type (1, 2), A F ( k ) {A}_{F}^{\left(k)} and A T ( k ) {A}_{T}^{\left(k)} , associated with the shape operator A A of the real hypersurface, for any nonnull real number k k . Following Tachibana [Analytic tensor and its generalization, Tohoku Math. J. 12 (1960), 208–221], we study the purity and hybridness of such tensors with respect to A A .
- 1 December 2023
- Published by Walter de Gruyter GmbH in Mathematica Slovaca
- Vol. 73 (6) , 1569-1576
On the Structure Lie Operator of a Real Hypersurface in the Complex Quadric
The almost contact metric structure that we have on a real hypersurface M in the complex quadric Qm = SOm+2/SOmSO2 allows us to define, for any nonnull real number k, the k-th generalized Tanaka-Webster connection on M, . Associated to this connection, we have Cho and torsion operators and , respectively, for any vector field X tangent to M. From them and for any symmetric operator B on M, we can consider two tensor fields of type (1,2) on M that we denote by and , respectively. We classify real hypersurfaces M in Qm for which any of those tensors identically vanishes, in the particular case of B being the structure Lie operator Lξ on M.- 1 December 2023
- Published by Walter de Gruyter GmbH in Mathematica Slovaca
- Vol. 73 (6) , 1569-1576
On the Structure Lie Operator of a Real Hypersurface in the Complex Quadric
The almost contact metric structure that we have on a real hypersurface M in the complex quadric Qm = SOm+2/SOmSO2 allows us to define, for any nonnull real number k, the k-th generalized Tanaka-Webster connection on M, . Associated to this connection, we have Cho and torsion operators and , respectively, for any vector field X tangent to M. From them and for any symmetric operator B on M, we can consider two tensor fields of type (1,2) on M that we denote by and , respectively. We classify real hypersurfaces M in Qm for which any of those tensors identically vanishes, in the particular case of B being the structure Lie operator Lξ on M.- Open Access
- 10 August 2023
- Published by Springer Nature in Periodica Mathematica Hungarica
- Vol. 87 (2) , 456-467
New characterizations of ruled real hypersurfaces in complex projective space
We consider real hypersurfacesMin complex projective space equipped with both the Levi–Civita and generalized Tanaka–Webster connections. For any nonnull constantkand any symmetric tensor field of type (1, 1)LonM, we can define two tensor fields of type (1, 2) onM, $$L_F^{(k)}$$ and $$L_T^{(k)}$$ , related to both connections. We study the behaviour of the structure operator $$\phi $$ with respect to such tensor fields in the particular case of $$L=A$$ , the shape operator ofM, and obtain some new characterizations of ruled real hypersurfaces in complex projective space.- 10 August 2023
- Published by Springer Nature in Periodica Mathematica Hungarica
- Vol. 87 (2) , 456-467
Open AccessNew characterizations of ruled real hypersurfaces in complex projective space
We consider real hypersurfacesMin complex projective space equipped with both the Levi–Civita and generalized Tanaka–Webster connections. For any nonnull constantkand any symmetric tensor field of type (1, 1)LonM, we can define two tensor fields of type (1, 2) onM, $$L_F^{(k)}$$ and $$L_T^{(k)}$$ , related to both connections. We study the behaviour of the structure operator $$\phi $$ with respect to such tensor fields in the particular case of $$L=A$$ , the shape operator ofM, and obtain some new characterizations of ruled real hypersurfaces in complex projective space. - Open Access
- 1 August 2023
- Published by Springer Nature in Bulletin of the Iranian Mathematical Society
- Vol. 49 (4) , 1-17
Some Conditions Concerning the Shape Operator of a Real Hypersurface in Complex Projective Space
Let M be a real hypersurface of a complex projective space. For any operator B on M and any nonnull real number k, we can define two tensor fields of type (1,2) on M, $$B_F^{(k)}$$ and $$B_T^{(k)}$$ . We will classify real hypersurfaces in complex projective space for which $$B_F^{(k)}$$ and $$B_T^{(k)}$$ either take values in the maximal holomorphic distribution $$\mathbb {D}$$ or are parallel to the structure vector field $$\xi $$ , in the particular case of $$B=A$$ , where A denotes the shape operator of M. We also introduce the concept of $$A_F^{(k)}$$ and $$A_T^{(k)}$$ being $$\mathbb {D}$$ -recurrent and classify real hypersurfaces such that either $$A_F^{(k)}$$ or $$A_T^{(k)}$$ are $$\mathbb {D}$$ -recurrent.- 1 August 2023
- Published by Springer Nature in Bulletin of the Iranian Mathematical Society
- Vol. 49 (4) , 1-17
Open AccessSome Conditions Concerning the Shape Operator of a Real Hypersurface in Complex Projective Space
Let M be a real hypersurface of a complex projective space. For any operator B on M and any nonnull real number k, we can define two tensor fields of type (1,2) on M, $$B_F^{(k)}$$ and $$B_T^{(k)}$$ . We will classify real hypersurfaces in complex projective space for which $$B_F^{(k)}$$ and $$B_T^{(k)}$$ either take values in the maximal holomorphic distribution $$\mathbb {D}$$ or are parallel to the structure vector field $$\xi $$ , in the particular case of $$B=A$$ , where A denotes the shape operator of M. We also introduce the concept of $$A_F^{(k)}$$ and $$A_T^{(k)}$$ being $$\mathbb {D}$$ -recurrent and classify real hypersurfaces such that either $$A_F^{(k)}$$ or $$A_T^{(k)}$$ are $$\mathbb {D}$$ -recurrent.