English

Tensor calculus and deformation theory on on a local Lie group

Differential Geometry 2011-04-29 v1

Abstract

Historically tensor calculus emerged in an attempt to formalize Rie- mann's ideas. We show that tensor calculus can be based also on Lie's idea of a transformation group and this approach leads quite naturally to the concept of deformation of a transformation group and the Kodaira- Spencer map.

Keywords

Cite

@article{arxiv.1104.5332,
  title  = {Tensor calculus and deformation theory on on a local Lie group},
  author = {Ercüment Ortaçgil},
  journal= {arXiv preprint arXiv:1104.5332},
  year   = {2011}
}

Comments

22 pages

R2 v1 2026-06-21T17:59:44.185Z