On conformally flat ( α , β )-metrics with special curvature properties
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| 024 | 7 | 0 | |a 10.1007/s10114-015-2584-6 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-2584-6 | ||
| 245 | 0 | 0 | |a On conformally flat ( α , β )-metrics with special curvature properties |h [Elektronische Daten] |c [Min Yuan, Xin Cheng] |
| 520 | 3 | |a In this paper, we study a significant non-Riemannian quantity Ξ-curvature, which is defined by S-curvature. Firstly, we obtain the formula of Ξ-curvature for (α, β)-metrics. Based on it, we show that the Ξ-curvature vanishes for a class of (α, β)-metrics. In the end, we get the relation of Ξ-curvature for conformally related Finsler metrics, and classify conformally flat (α, β)-metrics with almost vanishing Ξ-curvature. | |
| 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 ( α , β )-metrics |2 nationallicence | |
| 690 | 7 | |a conformally flat |2 nationallicence | |
| 690 | 7 | |a Ξ-curvature |2 nationallicence | |
| 700 | 1 | |a Yuan |D Min |u Department of Mathematical Sciences, Indiana University Purdue University Indianapolis, 402 N Blackford Street, 46202, Indianapolis, IN, USA |4 aut | |
| 700 | 1 | |a Cheng |D Xin |u School of Mathematics and Statistics, Chongqing University of Technology, 400054, Chongqing, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/5(2015-05-01), 879-892 |x 1439-8516 |q 31:5<879 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-2584-6 |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/s10114-015-2584-6 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Yuan |D Min |u Department of Mathematical Sciences, Indiana University Purdue University Indianapolis, 402 N Blackford Street, 46202, Indianapolis, IN, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Cheng |D Xin |u School of Mathematics and Statistics, Chongqing University of Technology, 400054, Chongqing, P. R. China |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 31/5(2015-05-01), 879-892 |x 1439-8516 |q 31:5<879 |1 2015 |2 31 |o 10114 | ||