Randers Metrics of Constant Scalar Curvature
Printed: Sep 2013
Esra Sengelen Sevim,
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.
Randers metrics, scalar curvature, S-curvature
53C60 - Finsler spaces and generalizations (areal metrics) [See also 58B20]
53B40 - Finsler spaces and generalizations (areal metrics)