Secondary Chern-Euler class for general submanifold
Differential Geometry
2009-07-14 v2
Abstract
We define and study the secondary Chern-Euler class for a general submanifold of a Riemannian manifold. Using this class, we define and study index for a vector field with non-isolated singularities on a submanifold. As an application, our studies give conceptual proofs of a classical result of Chern.
Keywords
Cite
@article{arxiv.0906.3908,
title = {Secondary Chern-Euler class for general submanifold},
author = {Zhaohu Nie},
journal= {arXiv preprint arXiv:0906.3908},
year = {2009}
}
Comments
Section 2 expanded and fixed. Final version to appear in Canadian Mathematical Bulletin