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...

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Bibliographic Details
Main Author: Kaimakamis, George
Other Authors: Arvanitoyeorgos, Andreas
Format: eBook
Language:English
Published: MDPI - Multidisciplinary Digital Publishing Institute 2020
Subjects:
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
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245 0 0 |a Geometry of Submanifolds and Homogeneous Spaces  |h Elektronische Ressource 
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653 |a maximum principle 
653 |a Sasaki-Einstein 
653 |a 3-Sasakian manifold 
653 |a pointwise bi-slant immersions 
653 |a orbifolds 
653 |a real hypersurfaces 
653 |a *-Ricci tensor 
653 |a pointwise 1-type spherical Gauss map 
653 |a generalized convexity 
653 |a Sasakian Lorentzian manifold 
653 |a slant curves 
653 |a cost functional 
653 |a homogeneous space 
653 |a Einstein manifold 
653 |a vector equilibrium problem 
653 |a finite-type 
653 |a spherical Gauss map 
653 |a formality 
653 |a compact Riemannian manifolds 
653 |a weakly efficient pareto points 
653 |a Kähler 2 
653 |a optimal control 
653 |a k-D'Atri space 
653 |a ??-space 
653 |a hyperbolic space 
653 |a Clifford torus 
653 |a hypersphere 
653 |a hadamard manifolds 
653 |a non-flat complex space forms 
653 |a evolution dynamics 
653 |a magnetic curves 
653 |a homogeneous geodesic 
653 |a submanifold integral 
653 |a links 
653 |a isoparametric hypersurface 
653 |a geodesic chord property 
653 |a warped products 
653 |a homogeneous manifold 
653 |a *-Weyl curvature tensor 
653 |a D'Atri space 
653 |a inequalities 
653 |a Laplace operator 
653 |a mean curvature 
653 |a Legendre curves 
653 |a homogeneous Finsler space 
653 |a isospectral manifolds 
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520 |a 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.