On generalized Douglas-Weyl ( α , β )-metrics
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605461724 | ||
| 003 | CHVBK | ||
| 005 | 20210128100244.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151001xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10114-015-3418-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-3418-2 | ||
| 245 | 0 | 0 | |a On generalized Douglas-Weyl ( α , β )-metrics |h [Elektronische Daten] |c [Akbar Tayebi, Hassan Sadeghi] |
| 520 | 3 | |a In this paper, we study generalized Douglas-Weyl (α, β)-metrics. Suppose that a regular (α, β)-metric F is not of Randers type. We prove that F is a generalized Douglas-Weyl metric with vanishing S-curvature if and only if it is a Berwald metric. Moreover, by ignoring the regularity, if F is not a Berwald metric, then we find a family of almost regular Finsler metrics which is not Douglas nor Weyl. As its application, we show that generalized Douglas-Weyl square metric or Matsumoto metric with isotropic mean Berwald curvature are Berwald metrics. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Generalized Douglas-Weyl metric |2 nationallicence | |
| 690 | 7 | |a Weyl metric |2 nationallicence | |
| 690 | 7 | |a Douglas metric |2 nationallicence | |
| 690 | 7 | |a S-curvature |2 nationallicence | |
| 700 | 1 | |a Tayebi |D Akbar |u Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran |4 aut | |
| 700 | 1 | |a Sadeghi |D Hassan |u Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/10(2015-10-01), 1611-1620 |x 1439-8516 |q 31:10<1611 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-3418-2 |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/s10114-015-3418-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Tayebi |D Akbar |u Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sadeghi |D Hassan |u Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/10(2015-10-01), 1611-1620 |x 1439-8516 |q 31:10<1611 |1 2015 |2 31 |o 10114 | ||