Tensor calculus and deformation theory on on a local Lie group
  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. 
Erc\"ument Orta\c{c}gil
math.DG