2 papers
math.DG2007
The Gauss-Bonnet theorem for vector bundles
Denis Bell
We give a short proof of the Gauss-Bonnet theorem for a real oriented Riemannian vector bundle of even rank over a closed compact orientable manifold . This theorem reduces…
math.PR2007
Divergence theorems in path space III: hypoelliptic diffusions and beyond
Denis Bell
Let denote a diffusion process defined on a closed compact manifold. In an earlier article, the author introduced a new approach to constructing admissible vector fields on the…