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Riemannian manifolds and homogeneous...

Berestovskii, Valerii.

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Riemannian manifolds and homogeneous geodesics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Riemannian manifolds and homogeneous geodesics/ by Valerii Berestovskii, Yurii Nikonorov.
Author:	Berestovskii, Valerii.
other author:	Nikonorov, Yurii.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xxii, 482 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Riemannian manifolds. -
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. - Cham :Springer International Publishing :2020. - xxii, 482 p. :ill., digital ;24 cm. - 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:

540526
Riemannian manifolds.

LC Class. No.: QA649 / .B47 2020

Dewey Class. No.: 516.373

Riemannian manifolds and homogeneous geodesics
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100 1 $a Berestovskii, Valerii. $3 3528094
245 1 0 $a Riemannian manifolds and homogeneous geodesics $h [electronic resource] / $c by Valerii Berestovskii, Yurii Nikonorov.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xxii, 482 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 1439-7382
520 $a 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.
650 0 $a Riemannian manifolds. $3 540526
650 0 $a Vector fields. $3 705428
650 0 $a Geodesics (Mathematics) $3 706117
650 1 4 $a Differential Geometry. $3 891003
650 2 4 $a Topological Groups, Lie Groups. $3 891005
650 2 4 $a Convex and Discrete Geometry. $3 893686
650 2 4 $a Non-associative Rings and Algebras. $3 891108
700 1 $a Nikonorov, Yurii. $3 3528095
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Springer monographs in mathematics. $3 1535313
856 4 0 $u https://doi.org/10.1007/978-3-030-56658-6
950 $a Mathematics and Statistics (SpringerNature-11649)