| Article ID | Journal | Published Year | Pages | File Type | 
|---|---|---|---|---|
| 1894656 | Journal of Geometry and Physics | 2015 | 6 Pages | 
Abstract
												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.
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											Authors
												Haoran Zhao, 
											