Canad. Math. Bull. 55(2012), 368-377
Printed: Jun 2012
We define and study the secondary Chern-Euler class for a general submanifold of a Riemannian manifold. Using this class, we define and study the index for a vector field with non-isolated singularities on a submanifold. As an application, we give conceptual proofs of a result of Chern.
secondary Chern-Euler class, normal sphere bundle, Euler characteristic, index, non-isolated singularities, blow-up
57R20 - Characteristic classes and numbers