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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Year of Publication:2020
Language:English
Physical Description:1 electronic resource (128 p.)
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spelling Kaimakamis, George auth
Geometry of Submanifolds and Homogeneous Spaces
MDPI - Multidisciplinary Digital Publishing Institute 2020
1 electronic resource (128 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
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.
English
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
3-03928-000-7
Arvanitoyeorgos, Andreas auth
language English
format eBook
author Kaimakamis, George
spellingShingle Kaimakamis, George
Geometry of Submanifolds and Homogeneous Spaces
author_facet Kaimakamis, George
Arvanitoyeorgos, Andreas
author_variant g k gk
author2 Arvanitoyeorgos, Andreas
author2_variant a a aa
author_sort Kaimakamis, George
title Geometry of Submanifolds and Homogeneous Spaces
title_full Geometry of Submanifolds and Homogeneous Spaces
title_fullStr Geometry of Submanifolds and Homogeneous Spaces
title_full_unstemmed Geometry of Submanifolds and Homogeneous Spaces
title_auth Geometry of Submanifolds and Homogeneous Spaces
title_new Geometry of Submanifolds and Homogeneous Spaces
title_sort geometry of submanifolds and homogeneous spaces
publisher MDPI - Multidisciplinary Digital Publishing Institute
publishDate 2020
physical 1 electronic resource (128 p.)
isbn 3-03928-001-5
3-03928-000-7
illustrated Not Illustrated
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