Geodesic
KILLING FRAMES AND S-CURVATURE OF HOMOGENEOUS FINSLER SPACES*
Glasgow mathematical journal, Tome 57 (2015) no. 2, pp. 457-464

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DOI

In this paper, we first deduce a formula of S-curvature of homogeneous Finsler spaces in terms of Killing vector fields. Then we prove that a homogeneous Finsler space has isotropic S-curvature if and only if it has vanishing S-curvature. In the special case that the homogeneous Finsler space is a Randers space, we give an explicit formula which coincides with the previous formula obtained by the second author using other methods. 
XU, MING; DENG, SHAOQIANG. KILLING FRAMES AND S-CURVATURE OF HOMOGENEOUS FINSLER SPACES*. Glasgow mathematical journal, Tome 57 (2015) no. 2, pp. 457-464. doi: 10.1017/S001708951400041X
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     author = {XU, MING and DENG, SHAOQIANG},
     title = {KILLING {FRAMES} {AND} {S-CURVATURE} {OF} {HOMOGENEOUS} {FINSLER} {SPACES*}},
     journal = {Glasgow mathematical journal},
     pages = {457--464},
     year = {2015},
     volume = {57},
     number = {2},
     doi = {10.1017/S001708951400041X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951400041X/}
}
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