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The Secondary Chern–Euler Class for a General Submanifold

Published online by Cambridge University Press:  20 November 2018

Zhaohu Nie*
Affiliation:
Department of Mathematics, Penn State Altoona, 3000 Ivyside Park, Altoona, PA 16601, USAe-mail: znie@psu.edu
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2012

References

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