TY - BOOK AU - Kaimakamis, George AU - Arvanitoyeorgos, Andreas 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. DO - 10.3390/books978-3-03928-001-8 ID - OAPEN ID: 43606 KW - warped products KW - vector equilibrium problem KW - Laplace operator KW - cost functional KW - pointwise 1-type spherical Gauss map KW - inequalities KW - homogeneous manifold KW - finite-type KW - magnetic curves KW - Sasaki-Einstein KW - evolution dynamics KW - non-flat complex space forms KW - hyperbolic space KW - compact Riemannian manifolds KW - maximum principle KW - submanifold integral KW - Clifford torus KW - D’Atri space KW - 3-Sasakian manifold KW - links KW - isoparametric hypersurface KW - Einstein manifold KW - real hypersurfaces KW - Kähler 2 KW - *-Weyl curvature tensor KW - homogeneous geodesic KW - optimal control KW - formality KW - hadamard manifolds KW - Sasakian Lorentzian manifold KW - generalized convexity KW - isospectral manifolds KW - Legendre curves KW - geodesic chord property KW - spherical Gauss map KW - pointwise bi-slant immersions KW - mean curvature KW - weakly efficient pareto points KW - geodesic symmetries KW - homogeneous Finsler space KW - orbifolds KW - slant curves KW - hypersphere KW - ??-space KW - k-D’Atri space KW - *-Ricci tensor KW - homogeneous space L1 - https://www.mdpi.com/books/pdfview/book/1913 LA - English LK - https://directory.doabooks.org/handle/20.500.12854/48494 PB - MDPI - Multidisciplinary Digital Publishing Institute PY - 2020 SN - 9783039280001 SN - 9783039280018 TI - Geometry of Submanifolds and Homogeneous Spacesnull ER -