Automorphisms of Riemann-Cartan Manifolds with Semi-Symmetric Connection

V.I. Panzhensky

Penza State Pedagogical University 37 Lermontov Str., Penza 440206, Russia
E-mail: kaf geom@pnzgu.ru

Received December 13, 2012, revised January 15, 2014

Abstract

It is proved that the maximum dimension of the Lie group of automorphisms of a Riemann-Cartan manifold (M, g, Ñ^{̃} is , where M is
a smooth n-dimensional manifold, g is a Riemannian or semi-Riemannian metric on M, Ñ^{̃} is a semi-symmetric connection.