TY - BOOK
ID - 43606
TI - Geometry of Submanifolds and Homogeneous Spaces
AU - Arvanitoyeorgos, Andreas
AU - Kaimakamis, George
PB - MDPI - Multidisciplinary Digital Publishing Institute
PY - 2020
KW - mean curvature
KW - warped products
KW - compact Riemannian manifolds
KW - pointwise bi-slant immersions
KW - inequalities
KW - real hypersurfaces
KW - non-flat complex space forms
KW - *-Ricci tensor
KW - *-Weyl curvature tensor
KW - slant curves
KW - Legendre curves
KW - magnetic curves
KW - Sasakian Lorentzian manifold
KW - homogeneous manifold
KW - homogeneous Finsler space
KW - homogeneous geodesic
KW - maximum principle
KW - optimal control
KW - Einstein manifold
KW - evolution dynamics
KW - cost functional
KW - submanifold integral
KW - Sasaki-Einstein
KW - Kähler 2
KW - orbifolds
KW - links
KW - formality
KW - 3-Sasakian manifold
KW - homogeneous space
KW - vector equilibrium problem
KW - generalized convexity
KW - hadamard manifolds
KW - weakly efficient pareto points
KW - geodesic chord property
KW - hypersphere
KW - hyperbolic space
KW - isoparametric hypersurface
KW - Clifford torus
KW - spherical Gauss map
KW - finite-type
KW - pointwise 1-type spherical Gauss map
KW - Laplace operator
KW - isospectral manifolds
KW - geodesic symmetries
KW - D’Atri space
KW - k-D’Atri space
KW - ??-space
SN - 9783039280001 / 9783039280018
AB - 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.
ER -