A note on the Gauss-Bonnet-Chern theorem for general connection

doi:10.1016/j.geomphys.2015.08.007

CSpace

	A note on the Gauss-Bonnet-Chern theorem for general connection
	Zhao, Haoran 1,2,3
	2015-12-01
发表期刊	JOURNAL OF GEOMETRY AND PHYSICS
ISSN	0393-0440
卷号	98 页码:414-419
摘要	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. (C) 2015 Elsevier B.V. All rights reserved.
关键词	Heat equation Hodge-Laplacian Asymptotic expansion
DOI	10.1016/j.geomphys.2015.08.007
语种	英语
资助项目	Chinese academy science and its academy of math and systems science, math institute, math and interdisciplinary science center, morningside center ; math science center and math department in Zhejiang university ; math science center and math department in Tsinghua university
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000364731500031
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21167
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, Haoran
作者单位	1.Beijing Univ Civil Engn & Architecture, Coll Sci, Beijing 102616, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Zhejiang Univ, Ctr Math Sci, Hangzhou 310028, Zhejiang, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Haoran. A note on the Gauss-Bonnet-Chern theorem for general connection[J]. JOURNAL OF GEOMETRY AND PHYSICS,2015,98:414-419.
APA	Zhao, Haoran.(2015).A note on the Gauss-Bonnet-Chern theorem for general connection.JOURNAL OF GEOMETRY AND PHYSICS,98,414-419.
MLA	Zhao, Haoran."A note on the Gauss-Bonnet-Chern theorem for general connection".JOURNAL OF GEOMETRY AND PHYSICS 98(2015):414-419.