The Secondary Chern-Euler Class for a General Submanifold

Canadian mathematical bulletin

Zhaohu Nie¹ 

[1] Department of Mathematics, Penn State Altoona, 3000 Ivyside Park, Altoona, PA 16601, USA

关键词: secondary Chern-Euler class;    normal sphere bundle;    Euler characteristic;    index;    non-isolated singularities;    blow-up;   

DOI  :  10.4153/CMB-2011-077-8

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

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.

【 授权许可】

Unknown