Masatomo Takahashi
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Research Interests
Masatomo Takahashi has a total of 5 co-authors. Here are the top co-authors by number of shared publications:
- Shyuichi Izumiya
Department of Mathematics, Hokkaido University, Sapporo, Japan
4 shared publications - Donghe Pei
North East Normal University
2 shared publications - Donghe Pei
School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024, P. R. China
1 shared publication - Kentaro Saji
Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan
1 shared publication - María del Carmen Romero Fuster
Universitat de València
1 shared publication
Latest Publications
- 1 February 2012
- Published by Elsevier in Topology and its Applications
- Vol. 159 (2) , 501-508
On caustics of submanifolds and canal hypersurfaces in Euclidean space
- 1 February 2012
- Published by Elsevier in Topology and its Applications
- Vol. 159 (2) , 501-508
On caustics of submanifolds and canal hypersurfaces in Euclidean space
- 1 July 2007
- Published by Springer Nature in Journal of Mathematical Sciences
- Vol. 144 (1) , 3854-3869
Bifurcations of completely integrable first-order ordinary differential equations
- 1 July 2007
- Published by Springer Nature in Journal of Mathematical Sciences
- Vol. 144 (1) , 3854-3869
Bifurcations of completely integrable first-order ordinary differential equations
- 3 April 2007
- Published by Springer Nature in Journal of Dynamical and Control Systems
- Vol. 13 (2) , 273-288
On Implicit Second-Order Ordinary Differential Equations: Completely Integrable and Clairaut Type
- 3 April 2007
- Published by Springer Nature in Journal of Dynamical and Control Systems
- Vol. 13 (2) , 273-288
On Implicit Second-Order Ordinary Differential Equations: Completely Integrable and Clairaut Type
- 26 March 2007
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 137 (2) , 415-430
Singularities of smooth mappings with patterns
We study smooth mappings with patterns which given by certain divergence diagrams of smooth mappings. The divergent diagrams of smooth mappings can be regard as smooth mappings from manifolds with singular foliations. Our concerns are generic differential topology and generic smooth mappings with patterns. We give a generic semi-local classification of surfaces with singularities and patterns as an application of singularity theory.
- 26 March 2007
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 137 (2) , 415-430
Singularities of smooth mappings with patterns
We study smooth mappings with patterns which given by certain divergence diagrams of smooth mappings. The divergent diagrams of smooth mappings can be regard as smooth mappings from manifolds with singular foliations. Our concerns are generic differential topology and generic smooth mappings with patterns. We give a generic semi-local classification of surfaces with singularities and patterns as an application of singularity theory.
- 1 July 2004
- Published by Springer Nature in Bulletin of the Brazilian Mathematical Society, New Series
- Vol. 35 (2) , 177-198
On the horospherical ridges of submanifolds of codimension 2 in Hyperbolic n-space
- 1 July 2004
- Published by Springer Nature in Bulletin of the Brazilian Mathematical Society, New Series
- Vol. 35 (2) , 177-198
On the horospherical ridges of submanifolds of codimension 2 in Hyperbolic n-space
- 1 February 2004
- Published by Cambridge University Press (CUP) in Proceedings of the Edinburgh Mathematical Society
- Vol. 47 (1) , 131-153
SINGULARITIES OF EVOLUTES OF HYPERSURFACES IN HYPERBOLIC SPACE
We study the differential geometry of hypersurfaces in hyperbolic space. As an application of the theory of Lagrangian singularities, we investigate the contact of hypersurfaces with families of hyperspheres or equidistant hyperplanes.AMS 2000 Mathematics subject classification: Primary 53A35. Secondary 58C27
- 1 February 2004
- Published by Cambridge University Press (CUP) in Proceedings of the Edinburgh Mathematical Society
- Vol. 47 (1) , 131-153
SINGULARITIES OF EVOLUTES OF HYPERSURFACES IN HYPERBOLIC SPACE
We study the differential geometry of hypersurfaces in hyperbolic space. As an application of the theory of Lagrangian singularities, we investigate the contact of hypersurfaces with families of hyperspheres or equidistant hyperplanes.AMS 2000 Mathematics subject classification: Primary 53A35. Secondary 58C27
- Open Access
- 1 January 2004
- Published by Institute of Mathematics, Polish Academy of Sciences
- Vol. 65, 107-123
Curves and surfaces in hyperbolic space
In the first part (Sections 2 and 3), we give a survey of the recent results on application of singularity theory for curves and surfaces in hyperbolic space. After that we define the hyperbolic canal surface of a hyperbolic space curve and apply the res
- 1 January 2004
- Published by Institute of Mathematics, Polish Academy of Sciences
- Vol. 65, 107-123
Open AccessCurves and surfaces in hyperbolic space
In the first part (Sections 2 and 3), we give a survey of the recent results on application of singularity theory for curves and surfaces in hyperbolic space. After that we define the hyperbolic canal surface of a hyperbolic space curve and apply the res