Journal of East China Normal University(Natural Sc ›› 2013, Vol. 2013 ›› Issue (2): 160-166.

• Article • Previous Articles    

Conformal transformation between some Finsler Einstein spaces

ZHANG Xiao-ling   

  1. College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China
  • Received:2012-04-01 Revised:2012-07-01 Online:2013-03-25 Published:2013-03-20

Abstract: Liouville's Theorem proved that the Euclidean space can be
mapped conformally on itself only by a composition of M\"{o}bius
transformations. For Riemann spaces, Brinkmann obtained general
results. Little work has been done on Finsler spaces. This paper, by
navigation idea and properties of conformal map, proved that the
conformal transformation between Einstein Randers (or Kropina)
spaces must be homothetic.

Key words: Einstein spaces, conformal maps, Randers metrics, Kropina metrics

CLC Number: