國立高雄大學圖資館 |

Language: English

Back

Riemannian manifolds and homogeneous...

Berestovskii, Valerii.

Riemannian manifolds and homogeneous geodesics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Riemannian manifolds and homogeneous geodesicsby 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$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
LDR:01933nmm a2200325 a 4500 001 589631
003 DE-He213
005 20210309152711.0
006 m d
007 cr nn 008maaau
008 210601s2020 sz s 0 eng d
020 $a 9783030566586$q(electronic bk.)
020 $a 9783030566579$q(paper)
024 7 $a 10.1007/978-3-030-56658-6 $2 doi
035 $a 978-3-030-56658-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA649 $b .B47 2020
072 7 $a PBMP $2 bicssc
072 7 $a MAT012030 $2 bisacsh
072 7 $a PBMP $2 thema
082 0 4 $a 516.373 $2 23
090 $a QA649 $b .B491 2020
100 1 $a Berestovskii, Valerii. $3 881599
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 190949
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
700 1 $a Nikonorov, Yurii. $3 881600
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Springer monographs in mathematics. $3 557774
856 4 0 $u https://doi.org/10.1007/978-3-030-56658-6
950 $a Mathematics and Statistics (SpringerNature-11649)