English Polski
On-line access


0.00 PLN
Bookshelf (0) 
Your bookshelf is empty
Riemannian Manifolds and Homogeneous Geodesics

Riemannian Manifolds and Homogeneous Geodesics

Publisher Springer, Berlin
Pages 482
Version hardback
Language English
ISBN 9783030566579
Categories Differential & Riemannian geometry
$221.31 (with VAT)
983.85 PLN / €210.94 / £183.11
Delivery to United States

check shipping prices
Would you like to be informed when the book becomes available? Please provide your e-mail address and you will be the first to know:
Add to bookshelf

Book description

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.

Riemannian Manifolds and Homogeneous Geodesics

Table of contents

Introduction. - 1 Riemannian Manifolds. - 2 Lie Groups and Lie Algebras. - 3 Isometric Flows and Killing Vector Fields on Riemannian Manifolds. - 4 Homogeneous Riemannian Manifolds. - 5 Manifolds With Homogeneous Geodesics. - 6 Generalized Normal Homogeneous ManifoldsWith Intrinsic Metrics. - 7 Clifford-Wolf Homogeneous Riemannian Manifolds. - References. - List of Tables. - Index. 

We also recommend books

Strony www Białystok Warszawa
801 777 223