A Poincaré-Hopf Type Formula for A Pair of Vector Fields

Authors: Xu Chen

We extend the reslut about Poincar\'e-Hopf type formula for the difference of the Chern character numbers (cf.[3]) to the non-isolated singularities, and establish a Poincar\'e-Hopf type formula for a pair of vector field with the function $h^{T_{\mathbb{C}}M}(\cdot,\cdot)$ has non-isolated zero points over a closed, oriented smooth manifold of dimension $2n$.

Comments: 7 Pages.

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Submission history

[v1] 2018-01-13 21:07:54

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