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Riemannian Manifolds and Homogeneous Geodesics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Riemannian Manifolds and Homogeneous Geodesics/ by Valerii Berestovskii, Yurii Nikonorov.
Author:	Berestovskii, Valerii.
other author:	Nikonorov, Yurii.
Description:	XXII, 482 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Topological Groups, Lie Groups. -
Online resource:	https://doi.org/10.1007/978-3-030-56658-6
ISBN:	9783030566586

Riemannian Manifolds and Homogeneous Geodesics
Berestovskii, Valerii.

Riemannian Manifolds and Homogeneous Geodesics[electronic resource] /by Valerii Berestovskii, Yurii Nikonorov. - 1st ed. 2020. - XXII, 482 p. 1 illus.online resource. - Springer Monographs in Mathematics,1439-7382. - Springer Monographs in Mathematics,.

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.

ISBN: 9783030566586

Standard No.: 10.1007/978-3-030-56658-6doiSubjects--Topical Terms:

672074
Topological Groups, Lie Groups.

LC Class. No.: QA641-670

Dewey Class. No.: 516.36

Riemannian Manifolds and Homogeneous Geodesics
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