This article is cited in 19 papers

Vanishing theorems in affine, Riemannian, and Lorenz geometries

S. E. Stepanov

Vladimir State Pedagogical University

Abstract: In this survey, we consider one aspect of the Bochner technique, the proof of vanishing theorems by using the Weitzenbock integral formulas, which allows us to extend the technique to pseudo-Riemannian manifolds and equiaffine connection manifolds.

UDC: 514.75

 English version: Journal of Mathematical Sciences (New York), 2007, 141:1, 929–964

Bibliographic databases:

• 
• 
• 
•