Secondary Chern-Euler class for general submanifold

2009/06/22 by Zhaohu Nie, Nie, Zhaohu
Computer Science · Mathematics · #57R20 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.0906.3908

openalex publication_date 2009/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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