Geometry of Submanifolds and Homogeneous Spaces

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Tác giả: Andreas Arvanitoyeorgos, George Kaimakamis

Ngôn ngữ: eng

ISBN-13: 978-3039280001

Ký hiệu phân loại:

Thông tin xuất bản: Basel, Switzerland : MDPI - Multidisciplinary Digital Publishing Institute, 2020

Mô tả vật lý: 1 electronic resource (128 p.)

Bộ sưu tập: Tài liệu truy cập mở

ID: 231592

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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