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＜電子ブック＞
Riemannian Manifolds and Homogeneous Geodesics / by Valerii Berestovskii, Yurii Nikonorov
(Springer Monographs in Mathematics. ISSN:21969922)

版	1st ed. 2020.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2020
本文言語	英語
大きさ	XXII, 482 p. 1 illus : online resource
著者標目	*Berestovskii, Valerii author Nikonorov, Yurii author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Topological groups LCSH:Lie groups LCSH:Convex geometry  LCSH:Discrete geometry LCSH:Nonassociative rings FREE:Differential Geometry FREE:Topological Groups and Lie Groups FREE:Convex and Discrete Geometry FREE:Non-associative Rings and Algebras
一般注記	This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them. It also provides a detailed introduction to homogeneous geodesics, that is, geodesics that are integral curves of Killing vector fields, presenting both classical and modern results, some very recent, many of which are due to the authors. The main focus is on the class of Riemannian manifolds with homogeneous geodesics and on some of its important subclasses. To keep the exposition self-contained the book also includes useful general results not only on geodesic orbit manifolds, but also on smooth and Riemannian manifolds, Lie groups and Lie algebras, homogeneous Riemannian manifolds, and compact homogeneous Riemannian spaces. The intended audience is graduate students and researchers whose work involves differential geometry and transformation groups HTTP:URL=https://doi.org/10.1007/978-3-030-56658-6

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