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The Secondary Chern–Euler Class for a General Submanifold

Published online by Cambridge University Press:  20 November 2018

Zhaohu Nie
Zhaohu Nie*
Affiliation:
Department of Mathematics, Penn State Altoona, 3000 Ivyside Park, Altoona, PA 16601, USAe-mail: [email protected]
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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.

Keywords

57R20secondary Chern–Euler classnormal sphere bundleEuler characteristicindexnonisolated singularitiesblow-up
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 2 , 01 June 2012 , pp. 368 - 377
Copyright
Copyright © Canadian Mathematical Society 2012

References

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