A note on the Gauss–Bonnet–Chern theorem for general connection
Copyright policy )A note on the Gauss–Bonnet–Chern theorem for general connection
In this paper, we prove a local index theorem for the DeRham Hodge-laplacian which is defined by the connection compatible with metric. This connection need not be the Levi-Civita connection. When the connection is Levi-Civita connection, this is the classical local Gauss-Bonnet-Chern theorem.
- Zhejiang Ocean University China (People's Republic of)
- Chinese Academy of Sciences China (People's Republic of)
- Beijing University of Civil Engineering and Architecture China (People's Republic of)
Mathematics - Differential Geometry, Hodge-Laplacian, asymptotic expansion, Differential Geometry (math.DG), heat equation, FOS: Mathematics, Index theory and related fixed-point theorems on manifolds, FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics
Mathematics - Differential Geometry, Hodge-Laplacian, asymptotic expansion, Differential Geometry (math.DG), heat equation, FOS: Mathematics, Index theory and related fixed-point theorems on manifolds, FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics
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