KV. Cohomology and some applications

Abstract

Two versions of the KV-cohomology are presented and some algebraic and geometrical applications are given. We will see some applications to stochastic manifold. As a consequence, we can apply these ideas in Lorentzian geometry, in particular in the theory of null hypersurfaces where it is defined a non Levi-Civitta connection as an auxiliary tool, and so, there is a stochastic structure.