Secondary Chern-Euler forms and the law of vector fields

DOI10.1090/S0002-9939-2011-11214-0zbMath1242.57022arXiv0909.4754OpenAlexW2016115815MaRDI QIDQ2880670

Zhaohu Nie

Publication date: 13 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4754

zbMATH Keywords

singularitiesStokes' theoremLaw of Vector Fieldssecondary Chern-Euler forms

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Characteristic classes and numbers in differential topology (57R20)

Cites Work

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• Superconnections, Thom classes, and equivariant differential forms
• A secondary Chern-Euler class
• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
• On the curvatura integra in a Riemannian manifold
• The Secondary Chern–Euler Class for a General Submanifold
• On Sha's Secondary Chern–Euler Class
• On Automorphisms of A Kählerian Structure
• Differential Topology
• An anomaly formula for Ray-Singer metrics on manifolds with boundary

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