Secondary Chern-Euler class for general submanifold

Details Secondary Chern-Euler class for general submanifold Secondary Chern-Euler class for general submanifold

2009-06-22

arxiv.org/abs/0906.3908v2

Mathematics

Differential Geometry

Section 2 expanded and fixed. Final version to appear in Canadian Mathematical Bulletin

Scientific paper

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.

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