HLHuili Liu
Huili Liu
*This is an algorithmically generated author record based on publicly available information.
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
Huili Liu has a total of 19 co-authors. Here are the top co-authors by number of shared publications:
- Seoung Dal Jung
Department of Mathematics, Jeju National University, Jeju, Republic of Korea
4 shared publications Seoung Dal Jung
Jeju National University
3 shared publications- Yixuan Liu
College of Life Sciences, Peking University, Beijing, People’s Republic of China
3 shared publications - Kotaro Yamada
Department of Mathematics, Tokyo Institute of Technology, Tokyo 152-8551, Japan
2 shared publications - Masaaki Umehara
Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo 152-8552, Japan
2 shared publications - Seoung Dal Jung
Department of Mathematics, Cheju National University, Jeju 690-756, Republic of Korea
2 shared publications
Latest Publications
- Open Access
- 23 April 2024
- Published by International Electronic Journal of Geometry, Person (Kazim ILARSLAN) in International Electronic Journal of Geometry
- Vol. 17 (1) , 213-220
Partner Curves in Three Dimensional Degenerated Space Form
Using elementary and effective methods we study cone curves and their associated curves or partner curves in the three dimensional lightlike cone $\Q^3$, which is called three dimensional degenerated space form of the four dimensional Minkowski space $\E^4_1$. We define the associated curve of the cone curve and also partner curves of some special curves, such as a Bertrand curve and a Mannheim curve. We consider the properties and relations of a curve and its associated curve or partner curve. Some geometric characterizations of these curves are also given.- 23 April 2024
- Published by International Electronic Journal of Geometry, Person (Kazim ILARSLAN) in International Electronic Journal of Geometry
- Vol. 17 (1) , 213-220
Open AccessPartner Curves in Three Dimensional Degenerated Space Form
Using elementary and effective methods we study cone curves and their associated curves or partner curves in the three dimensional lightlike cone $\Q^3$, which is called three dimensional degenerated space form of the four dimensional Minkowski space $\E^4_1$. We define the associated curve of the cone curve and also partner curves of some special curves, such as a Bertrand curve and a Mannheim curve. We consider the properties and relations of a curve and its associated curve or partner curve. Some geometric characterizations of these curves are also given. - 4 March 2022
- Published by Springer Nature in Journal of Geometry
- Vol. 113 (1) , 1-13
Ruled invariants and total classification of non-developable ruled surfaces
- 4 March 2022
- Published by Springer Nature in Journal of Geometry
- Vol. 113 (1) , 1-13
Ruled invariants and total classification of non-developable ruled surfaces
- 30 January 2021
- Published by Springer Nature in Journal of Geometry
- Vol. 112 (1) , 1-20
Curves in three dimensional Riemannian space forms
- 30 January 2021
- Published by Springer Nature in Journal of Geometry
- Vol. 112 (1) , 1-20
Curves in three dimensional Riemannian space forms
- Open Access
- 2 November 2020
- Published by MDPI AG in Mathematics
- Vol. 8 (11) , 1921
Representation of Maximal Surfaces in a 3-Dimensional Lightlike Cone
In this paper, the representation formula of maximal surfaces in a 3-dimensional lightlike cone is obtained by making use of the differential equation theory and complex function theory. Some particular maximal surfaces under a special induced metric are presented explicitly via the representation formula.- 2 November 2020
- Published by MDPI AG in Mathematics
- Vol. 8 (11) , 1921
Open AccessRepresentation of Maximal Surfaces in a 3-Dimensional Lightlike Cone
In this paper, the representation formula of maximal surfaces in a 3-dimensional lightlike cone is obtained by making use of the differential equation theory and complex function theory. Some particular maximal surfaces under a special induced metric are presented explicitly via the representation formula. - 2 September 2017
- Published by Springer Nature in Results in Mathematics
- Vol. 72 (4) , 1839-1848
Weingarten Affine Translation Surfaces in Euclidean 3-Space
- 2 September 2017
- Published by Springer Nature in Results in Mathematics
- Vol. 72 (4) , 1839-1848
Weingarten Affine Translation Surfaces in Euclidean 3-Space
- 12 May 2017
- Published by Springer Nature in Mathematische Zeitschrift
- Vol. 288 (3-4) , 665-677
$L^\mathrm{2}$ L 2 -transverse conformal Killing forms on complete foliated manifolds- 12 May 2017
- Published by Springer Nature in Mathematische Zeitschrift
- Vol. 288 (3-4) , 665-677
$L^\mathrm{2}$ L 2 -transverse conformal Killing forms on complete foliated manifolds- 24 December 2016
- Published by Springer Nature in Journal of Geometry
- Vol. 108 (2) , 623-635
Riccati equations and cone curves in Minkowski 3-space
- 24 December 2016
- Published by Springer Nature in Journal of Geometry
- Vol. 108 (2) , 623-635
Riccati equations and cone curves in Minkowski 3-space
- 19 September 2016
- Published by Springer Nature in Journal of Geometry
- Vol. 108 (2) , 423-428
Affine translation surfaces with constant mean curvature in Euclidean 3-space
- 19 September 2016
- Published by Springer Nature in Journal of Geometry
- Vol. 108 (2) , 423-428
Affine translation surfaces with constant mean curvature in Euclidean 3-space
- Open Access
Vanishing theorems of the basic harmonic forms on a complete foliated Riemannian manifold
On a compact foliated Riemannian manifold with some transversal curvature conditions, there are no nontrivial basic harmonic forms (M. Min-Oo et al., J. Reine Angew. Math. 415 (1991). In this paper, we extend the above facts to a complete foliated Riemannian manifold.
Open AccessVanishing theorems of the basic harmonic forms on a complete foliated Riemannian manifold
On a compact foliated Riemannian manifold with some transversal curvature conditions, there are no nontrivial basic harmonic forms (M. Min-Oo et al., J. Reine Angew. Math. 415 (1991). In this paper, we extend the above facts to a complete foliated Riemannian manifold.
- Open Access
- 14 May 2014
- Published by Springer Nature in Results in Mathematics
- Vol. 66 (3-4) , 469-480
Curves in Three Dimensional Riemannian Space Forms
- 14 May 2014
- Published by Springer Nature in Results in Mathematics
- Vol. 66 (3-4) , 469-480
Open AccessCurves in Three Dimensional Riemannian Space Forms