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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Haoran Zhao,