FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 2, PAGES 7-12

**Vanishing theorems for some classes of Riemann--Cartan manifolds**

I. A. Gordeeva

Abstract

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In this paper, a classification of Riemann--Cartan manifolds
based on the orthogonal decomposition of the torsion tensor is given.
Problems on the existence of two classes $$Ã_{1}
Å
Ã_{2} and
$$Ã_{3} of Riemann--Cartan spaces are
discussed.

Location: http://mech.math.msu.su/~fpm/eng/k10/k102/k10202h.htm

Last modified: April 5, 2011