Clifford-Wolf homogeneous Finsler metrics on spheres
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| 003 | CHVBK | ||
| 005 | 20210128100535.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150601xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10231-013-0396-9 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-013-0396-9 | ||
| 245 | 0 | 0 | |a Clifford-Wolf homogeneous Finsler metrics on spheres |h [Elektronische Daten] |c [Ming Xu, Shaoqiang Deng] |
| 520 | 3 | |a An isometry of a Finsler space is called Clifford-Wolf translation (CW-translation) if it moves all points the same distance. A Finsler space $$(M, F)$$ ( M , F ) is called Clifford-Wolf homogeneous (CW-homogeneous) if for any $$x, y \in M$$ x , y ∈ M there is a CW-translation $$\sigma $$ σ such that $$\sigma (x)=y$$ σ ( x ) = y . We prove that if $$F$$ F is a homogeneous Finsler metric on the sphere $$S^n$$ S n such that $$(S^n, F)$$ ( S n , F ) is CW-homogeneous, then $$F$$ F must be a Randers metric. This gives a complete classification of CW-homogeneous Finsler metrics on spheres. | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Finsler spaces |2 nationallicence | |
| 690 | 7 | |a Clifford-Wolf translations |2 nationallicence | |
| 690 | 7 | |a Killing vector fields |2 nationallicence | |
| 690 | 7 | |a Homogeneous Randers manifolds |2 nationallicence | |
| 700 | 1 | |a Xu |D Ming |u College of Mathematical Sciences, Tianjin Normal University, 300387, Tianjin, People's Republic of China |4 aut | |
| 700 | 1 | |a Deng |D Shaoqiang |u School of Mathematical Sciences and LPMC, Nankai University, 300071, Tianjin, People's Republic of China |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/3(2015-06-01), 759-766 |x 0373-3114 |q 194:3<759 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-013-0396-9 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-013-0396-9 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Xu |D Ming |u College of Mathematical Sciences, Tianjin Normal University, 300387, Tianjin, People's Republic of China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Deng |D Shaoqiang |u School of Mathematical Sciences and LPMC, Nankai University, 300071, Tianjin, People's Republic of China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/3(2015-06-01), 759-766 |x 0373-3114 |q 194:3<759 |1 2015 |2 194 |o 10231 | ||