English

Deformed Infinite series metric in Cartan Spaces

Differential Geometry 2022-06-24 v1

Abstract

Igarashi introduce the concept of (α,β)(\alpha, \beta)-metric in Cartan space n\ell^{n} analogously to one in Finsler space and obtained the basic important geometric properties and also investigate the special class of the space with (α,β)(\alpha, \beta)-metric in n\ell^{n} in terms of invariants 'invariants' . In the present paper we determine the invariants 'invariants' in two different cases of deformed infinite series metric which characterize the special classes of Cartan spaces n\ell^{n}.

Keywords

Cite

@article{arxiv.1912.12176,
  title  = {Deformed Infinite series metric in Cartan Spaces},
  author = {Brijesh Kumar Tripathi and V. K. Chaubey},
  journal= {arXiv preprint arXiv:1912.12176},
  year   = {2022}
}