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The Secondary Chern-Euler Class for a General Submanifold

  Published:2011-04-25
 Printed: Jun 2012
  • Zhaohu Nie,
    Department of Mathematics, Penn State Altoona, 3000 Ivyside Park, Altoona, PA 16601, USA
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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 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 secondary Chern-Euler class, normal sphere bundle, Euler characteristic, index, non-isolated singularities, blow-up
MSC Classifications: 57R20 show english descriptions Characteristic classes and numbers 57R20 - Characteristic classes and numbers
 

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