1. CMB 2011 (vol 55 pp. 368)
||The Secondary Chern-Euler Class for a General Submanifold|
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.
Keywords:secondary Chern-Euler class, normal sphere bundle, Euler characteristic, index, non-isolated singularities, blow-up
2. CMB 2011 (vol 54 pp. 311)