Randers Metrics of Constant Scalar Curvature
Canadian mathematical bulletin, Tome 56 (2013) no. 3, pp. 615-620
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Randers metrics are a special class of Finsler metrics. Every Randers metric can be expressed in terms of a Riemannian metric and a vector field via Zermelo navigation. In this paper, we show that a Randers metric has constant scalar curvature if the Riemannian metric has constant scalar curvature and the vector field is homothetic
Mots-clés :
53C60, 53B40, Randers metrics, scalar curvature, S-curvature
Sengelen, Sevim Esra; Shen, Zhongmin. Randers Metrics of Constant Scalar Curvature. Canadian mathematical bulletin, Tome 56 (2013) no. 3, pp. 615-620. doi: 10.4153/CMB-2011-187-1
@article{10_4153_CMB_2011_187_1,
author = {Sengelen, Sevim Esra and Shen, Zhongmin},
title = {Randers {Metrics} of {Constant} {Scalar} {Curvature}},
journal = {Canadian mathematical bulletin},
pages = {615--620},
year = {2013},
volume = {56},
number = {3},
doi = {10.4153/CMB-2011-187-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-187-1/}
}
TY - JOUR AU - Sengelen, Sevim Esra AU - Shen, Zhongmin TI - Randers Metrics of Constant Scalar Curvature JO - Canadian mathematical bulletin PY - 2013 SP - 615 EP - 620 VL - 56 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-187-1/ DO - 10.4153/CMB-2011-187-1 ID - 10_4153_CMB_2011_187_1 ER -
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