Geometry of Submanifolds and Homogeneous Spaces
Kaimakamis, George
Geometry of Submanifolds and Homogeneous Spaces - MDPI - Multidisciplinary Digital Publishing Institute 2020 - 1 electronic resource (128 p.)
Open Access
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.
Creative Commons
English
books978-3-03928-001-8 9783039280001 9783039280018
10.3390/books978-3-03928-001-8 doi
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
Geometry of Submanifolds and Homogeneous Spaces - MDPI - Multidisciplinary Digital Publishing Institute 2020 - 1 electronic resource (128 p.)
Open Access
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.
Creative Commons
English
books978-3-03928-001-8 9783039280001 9783039280018
10.3390/books978-3-03928-001-8 doi
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