Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Blomer, Valentin / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Echterhoff, Siegfried / Frahm, Jan / Gordina, Maria / Shahidi, Freydoon / Sogge, Christopher D. / Takayama, Shigeharu / Wienhard, Anna


IMPACT FACTOR 2018: 0.867

CiteScore 2018: 0.71

SCImago Journal Rank (SJR) 2018: 0.898
Source Normalized Impact per Paper (SNIP) 2018: 0.964

Mathematical Citation Quotient (MCQ) 2018: 0.71

Online
ISSN
1435-5337
See all formats and pricing
More options …
Volume 26, Issue 5

Issues

Clifford–Wolf translations of Finsler spaces

Shaoqiang Deng / Ming Xu
Published Online: 2012-04-26 | DOI: https://doi.org/10.1515/forum-2012-0032

Abstract

In this paper, we study Clifford–Wolf translations of Finsler spaces. We give a characterization of those Clifford–Wolf translations generated by Killing vector fields. In particular, we show that there is a natural interrelation between the local one-parameter groups of Clifford–Wolf translations and the Killing vector fields of constant length. In the special case of homogeneous Randers spaces, we give some explicit sufficient and necessary conditions for a Killing vector field to have a constant length, in which case the local one-parameter group of isometries generated by the Killing field consist of Clifford–Wolf translations. Finally, we construct explicit examples to explain some of the results of this paper.

Keywords: Finsler spaces; Clifford–Wolf translations; Killing vector fields; homogeneous Randers manifolds

MSC: 22E46; 53C30

About the article

Received: 2012-03-18

Revised: 2012-04-04

Published Online: 2012-04-26

Published in Print: 2014-09-01


Funding Source: NSFC

Award identifier / Grant number: 10671096

Funding Source: NSFC

Award identifier / Grant number: 10971104

Funding Source: SRFDP of China


Citation Information: Forum Mathematicum, Volume 26, Issue 5, Pages 1413–1428, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/forum-2012-0032.

Export Citation

© 2015 by De Gruyter.Get Permission

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[2]
[3]
Joseph A. Wolf
Differential Geometry and its Applications, 2017
[4]
Ming Xu and Shaoqiang Deng
Comptes Rendus Mathematique, 2017
[5]
Ming Xu and Shaoqiang Deng
Annali di Matematica Pura ed Applicata (1923 -), 2017, Volume 196, Number 4, Page 1459
[6]
MING XU and JOSEPH A. WOLF
Transformation Groups, 2016, Volume 21, Number 3, Page 871
[7]
Shaoqiang Deng and Ming Xu
The Journal of Geometric Analysis, 2016, Volume 26, Number 3, Page 2282
[8]
SHAOQIANG DENG and MING XU
Transformation Groups, 2015, Volume 20, Number 2, Page 395
[9]
Shaoqiang Deng and Ming Xu
Israel Journal of Mathematics, 2014, Volume 199, Number 2, Page 507

Comments (0)

Please log in or register to comment.
Log in