双共形不变量和Wodzicki 留数

数学物理学报 ›› 2012, Vol. 32 ›› Issue (6): 1063-1078.

双共形不变量和Wodzicki 留数

王剑^1,2|王勇^1**

1.东北师范大学数学与统计学院长春 130024|
2.承德石油高等专科学校河北承德 067000

收稿日期:2011-05-15 修回日期:2012-04-25 出版日期:2012-12-25 发布日期:2012-12-25
基金资助:
国家自然科学基金(10801027)和霍英东教育基金(121003)资助

Double Conformal Invariants and the Wodzicki Residue

WANG Jian^1,2, WANG Yong^1**

1.School of Mathematics and Statistics, Northeast Normal University, Changchun 130024; |
2.Chengde Petroleum College, Hebei Chengde 067000

Received:2011-05-15 Revised:2012-04-25 Online:2012-12-25 Published:2012-12-25
Supported by:
国家自然科学基金(10801027)和霍英东教育基金(121003)资助

摘要/Abstract

摘要：

对紧致实流形, 在Connes 的框架下用Wodzicki 留数和d算子构造了新的双共形不变量. 在平坦的情形, 计算了这个双共形不变量. 类似的, 对复流形, 用Wodzicki 留数和∂算子构造了新的双共形不变量并计算出其平坦的情形.

关键词: Wodzicki 留数, 双共形不变量

Abstract:

In this article, for compact real manifolds, a new double conformal invariant is constructed using the Wodzicki residue and the d operator
in the framework of Connes. In the flat case and some special cases, they compute these double conformal invariants. Similarly to complex manifolds, they construct a new double conformal invariant using the Wodzicki residue and the ∂operator, and this double conformal invariant is computed in the flat case.

Key words: Wodzicki residue, Double conformal invariants

中图分类号:

53A30

王剑, 王勇. 双共形不变量和Wodzicki 留数[J]. 数学物理学报, 2012, 32(6): 1063-1078.

WANG Jian, WANG Yong. Double Conformal Invariants and the Wodzicki Residue[J]. Acta mathematica scientia,Series A, 2012, 32(6): 1063-1078.

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