Cover image for Geometry of Submanifolds and Homogeneous Spaces
Geometry of Submanifolds and Homogeneous Spaces
Title:
Geometry of Submanifolds and Homogeneous Spaces
Author:
Kaimakamis, George
ISBN:
9783039280018

9783039280001
Personal Author:
Publication Information:
MDPI - Multidisciplinary Digital Publishing Institute 2020
Physical Description:
1 electronic resource (128 p.)
Abstract:
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.
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