English

On the projective algebra of Einstein Matsumoto metrics

Differential Geometry 2012-07-23 v2

Abstract

The projective algebra p(M;F) (i.e the collection of all projective vector fields)of a Finsler space (M;F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket. The projective algebra of Einstein metrics has been perpetually studied from physical and geometrical approaches. Here, the projective algebra of Einstein Matsumoto space of dimension n \geq 3 is characterized. Moreover, Einstein Matsumoto metrics with maximum projective symmetry are studied and characterized.

Keywords

Cite

@article{arxiv.1109.2727,
  title  = {On the projective algebra of Einstein Matsumoto metrics},
  author = {M. Rafie-Rad},
  journal= {arXiv preprint arXiv:1109.2727},
  year   = {2012}
}

Comments

This paper has been withdrawn by the author due to some policies