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Riemannian manifolds and homogeneous...

Berestovskii, Valerii.

Riemannian manifolds and homogeneous geodesics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Riemannian manifolds and homogeneous geodesicsby Valerii Berestovskii, Yurii Nikonorov.
作者:	Berestovskii, Valerii.
其他作者:	Nikonorov, Yurii.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	xxii, 482 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Riemannian manifolds.
電子資源:	https://doi.org/10.1007/978-3-030-56658-6
ISBN:	9783030566586$q(electronic bk.)

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$q(electronic bk.)

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

190949
Riemannian manifolds.

LC Class. No.: QA649 / .B47 2020

Dewey Class. No.: 516.373

Riemannian manifolds and homogeneous geodesics
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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.
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650 0 $a Vector fields. $3 384687
650 0 $a Geodesics (Mathematics) $3 509940
650 1 4 $a Differential Geometry. $3 273785
650 2 4 $a Topological Groups, Lie Groups. $3 273787
650 2 4 $a Convex and Discrete Geometry. $3 277230
650 2 4 $a Non-associative Rings and Algebras. $3 274087
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