Geometry of Submanifolds and Homogeneous Spaces
The present Special Issue of Symmetry is devoted to two important areas of global Riemannian geometry, namely submanifold theory and the geometry of Lie groups and homogeneous spaces. Submanifold theory originated from the classical geometry of curves and surfaces. Homogeneous spaces are manifolds t...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Online |
| Language: | English |
| Published: |
MDPI - Multidisciplinary Digital Publishing Institute
2021
|
| Subjects: | |
| Online Access: | 43606 |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1869526052948148224 |
|---|---|
| author | Kaimakamis, George Arvanitoyeorgos, Andreas |
| author_browse | Arvanitoyeorgos, Andreas Kaimakamis, George |
| author_facet | Kaimakamis, George Arvanitoyeorgos, Andreas |
| author_sort | Kaimakamis, George |
| collection | Directory of Open Access Books |
| description | The present Special Issue of Symmetry is devoted to two important areas of global Riemannian geometry, namely submanifold theory and the geometry of Lie groups and homogeneous spaces. Submanifold theory originated from the classical geometry of curves and surfaces. Homogeneous spaces are manifolds that admit a transitive Lie group action, historically related to F. Klein's Erlangen Program and S. Lie's idea to use continuous symmetries in studying differential equations. In this Special Issue, we provide a collection of papers that not only reflect some of the latest advancements in both areas, but also highlight relations between them and the use of common techniques. Applications to other areas of mathematics are also considered. |
| format | Online |
| id | doab-20.500.12854ir-48494 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-484942023-12-20T18:40:39Z Geometry of Submanifolds and Homogeneous Spaces Kaimakamis, George Arvanitoyeorgos, Andreas QA1-939 Q1-390 warped products vector equilibrium problem Laplace operator cost functional pointwise 1-type spherical Gauss map inequalities homogeneous manifold finite-type magnetic curves Sasaki-Einstein evolution dynamics non-flat complex space forms hyperbolic space compact Riemannian manifolds maximum principle submanifold integral Clifford torus D’Atri space 3-Sasakian manifold links isoparametric hypersurface Einstein manifold real hypersurfaces Kähler 2 *-Weyl curvature tensor homogeneous geodesic optimal control formality hadamard manifolds Sasakian Lorentzian manifold generalized convexity isospectral manifolds Legendre curves geodesic chord property spherical Gauss map pointwise bi-slant immersions mean curvature weakly efficient pareto points geodesic symmetries homogeneous Finsler space orbifolds slant curves hypersphere ??-space k-D’Atri space *-Ricci tensor homogeneous space bic Book Industry Communication::P Mathematics & science The present Special Issue of Symmetry is devoted to two important areas of global Riemannian geometry, namely submanifold theory and the geometry of Lie groups and homogeneous spaces. Submanifold theory originated from the classical geometry of curves and surfaces. Homogeneous spaces are manifolds that admit a transitive Lie group action, historically related to F. Klein's Erlangen Program and S. Lie's idea to use continuous symmetries in studying differential equations. In this Special Issue, we provide a collection of papers that not only reflect some of the latest advancements in both areas, but also highlight relations between them and the use of common techniques. Applications to other areas of mathematics are also considered. 2021-02-11T14:29:27Z 2021-02-11T14:29:27Z 2020-01-30 16:39:46 2020 book 43606 9783039280001 9783039280018 https://directory.doabooks.org/handle/20.500.12854/48494 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://www.mdpi.com/books/pdfview/book/1913 https://www.mdpi.com/books/pdfview/book/1913 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03928-001-8 10.3390/books978-3-03928-001-8 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039280001 9783039280018 128 open access |
| spellingShingle | QA1-939 Q1-390 warped products vector equilibrium problem Laplace operator cost functional pointwise 1-type spherical Gauss map inequalities homogeneous manifold finite-type magnetic curves Sasaki-Einstein evolution dynamics non-flat complex space forms hyperbolic space compact Riemannian manifolds maximum principle submanifold integral Clifford torus D’Atri space 3-Sasakian manifold links isoparametric hypersurface Einstein manifold real hypersurfaces Kähler 2 *-Weyl curvature tensor homogeneous geodesic optimal control formality hadamard manifolds Sasakian Lorentzian manifold generalized convexity isospectral manifolds Legendre curves geodesic chord property spherical Gauss map pointwise bi-slant immersions mean curvature weakly efficient pareto points geodesic symmetries homogeneous Finsler space orbifolds slant curves hypersphere ??-space k-D’Atri space *-Ricci tensor homogeneous space bic Book Industry Communication::P Mathematics & science Kaimakamis, George Arvanitoyeorgos, Andreas Geometry of Submanifolds and Homogeneous Spaces |
| title | Geometry of Submanifolds and Homogeneous Spaces |
| title_full | Geometry of Submanifolds and Homogeneous Spaces |
| title_fullStr | Geometry of Submanifolds and Homogeneous Spaces |
| title_full_unstemmed | Geometry of Submanifolds and Homogeneous Spaces |
| title_short | Geometry of Submanifolds and Homogeneous Spaces |
| title_sort | geometry of submanifolds and homogeneous spaces |
| topic | QA1-939 Q1-390 warped products vector equilibrium problem Laplace operator cost functional pointwise 1-type spherical Gauss map inequalities homogeneous manifold finite-type magnetic curves Sasaki-Einstein evolution dynamics non-flat complex space forms hyperbolic space compact Riemannian manifolds maximum principle submanifold integral Clifford torus D’Atri space 3-Sasakian manifold links isoparametric hypersurface Einstein manifold real hypersurfaces Kähler 2 *-Weyl curvature tensor homogeneous geodesic optimal control formality hadamard manifolds Sasakian Lorentzian manifold generalized convexity isospectral manifolds Legendre curves geodesic chord property spherical Gauss map pointwise bi-slant immersions mean curvature weakly efficient pareto points geodesic symmetries homogeneous Finsler space orbifolds slant curves hypersphere ??-space k-D’Atri space *-Ricci tensor homogeneous space bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 Q1-390 warped products vector equilibrium problem Laplace operator cost functional pointwise 1-type spherical Gauss map inequalities homogeneous manifold finite-type magnetic curves Sasaki-Einstein evolution dynamics non-flat complex space forms hyperbolic space compact Riemannian manifolds maximum principle submanifold integral Clifford torus D’Atri space 3-Sasakian manifold links isoparametric hypersurface Einstein manifold real hypersurfaces Kähler 2 *-Weyl curvature tensor homogeneous geodesic optimal control formality hadamard manifolds Sasakian Lorentzian manifold generalized convexity isospectral manifolds Legendre curves geodesic chord property spherical Gauss map pointwise bi-slant immersions mean curvature weakly efficient pareto points geodesic symmetries homogeneous Finsler space orbifolds slant curves hypersphere ??-space k-D’Atri space *-Ricci tensor homogeneous space bic Book Industry Communication::P Mathematics & science |
| url | 43606 |
| work_keys_str_mv | AT kaimakamisgeorge geometryofsubmanifoldsandhomogeneousspaces AT arvanitoyeorgosandreas geometryofsubmanifoldsandhomogeneousspaces |