Affordable Access

Publisher Website

Locally dually flat Finsler metrics with special curvature properties

Authors
Journal
Differential Geometry and its Applications
0926-2245
Publisher
Elsevier
Publication Date
Volume
29
Identifiers
DOI: 10.1016/j.difgeo.2011.04.014
Keywords
  • Finsler Metric
  • Randers Metric
  • Locally Dually Flat Finsler Metric
  • Locally Projectively Flat Finsler Metric
  • Finsler Metric Of Scalar Flag Curvature
Disciplines
  • Mathematics

Abstract

Abstract Locally dually flat Finsler metrics are studied in Finsler information geometry and naturally arise from the investigation of the so-called flat information structure. In this survey article, we first characterize locally dually flat and projectively flat Finsler metrics. Then we mainly study locally dually flat Randers metrics in the form F = α + β , where α is a Riemannian metric and β is a 1-form on the manifold. We find some equations that characterize locally dually flat Randers metrics and classify locally dually flat Randers metrics with weak isotropic flag curvature. Further, we characterize locally dually flay ( α , β ) -metrics in the form F = α + ϵ β + k β 2 α of scalar flag curvature, where ϵ, k are nonzero constants.

There are no comments yet on this publication. Be the first to share your thoughts.

Statistics

Seen <100 times
0 Comments

More articles like this

On dually flat Finsler metrics

on Differential Geometry and its...

On some dually flat Finsler metrics with orthogona...

on Nonlinear Analysis Theory Meth...

On some dually flat Finsler metrics with orthogona...

on Nonlinear Analysis Theory Meth...

On some explicit constructions of dually flat Fins...

on Journal of Mathematical Analys... Sep 15, 2013
More articles like this..