03336nam 2200865z- 450 991037278680332120231214133627.03-03928-001-5(CKB)4100000010163758(oapen)https://directory.doabooks.org/handle/20.500.12854/48494(EXLCZ)99410000001016375820202102d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierGeometry of Submanifolds and Homogeneous SpacesMDPI - Multidisciplinary Digital Publishing Institute20201 electronic resource (128 p.)3-03928-000-7 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.warped productsvector equilibrium problemLaplace operatorcost functionalpointwise 1-type spherical Gauss mapinequalitieshomogeneous manifoldfinite-typemagnetic curvesSasaki-Einsteinevolution dynamicsnon-flat complex space formshyperbolic spacecompact Riemannian manifoldsmaximum principlesubmanifold integralClifford torusD’Atri space3-Sasakian manifoldlinksisoparametric hypersurfaceEinstein manifoldreal hypersurfacesKähler 2*-Weyl curvature tensorhomogeneous geodesicoptimal controlformalityhadamard manifoldsSasakian Lorentzian manifoldgeneralized convexityisospectral manifoldsLegendre curvesgeodesic chord propertyspherical Gauss mappointwise bi-slant immersionsmean curvatureweakly efficient pareto pointsgeodesic symmetrieshomogeneous Finsler spaceorbifoldsslant curveshypersphere??-spacek-D’Atri space*-Ricci tensorhomogeneous spaceKaimakamis Georgeauth1293623Arvanitoyeorgos AndreasauthBOOK9910372786803321Geometry of Submanifolds and Homogeneous Spaces3022673UNINA