Nonminimal operators and non-commutative residue

被引:10
作者
Wang, Jian [1 ]
Wang, Yong [1 ,2 ]
机构
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[2] Chengde Petr Coll, Chengde 067000, Peoples R China
基金
美国国家科学基金会;
关键词
LOWER-DIMENSIONAL VOLUMES; DIFFERENTIAL FORMS; WODZICKI RESIDUE; MANIFOLDS; BOUNDARY; GEOMETRY; THEOREM;
D O I
10.1063/1.4737847
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we get the Kastler-Kalau-Walze type theorem associated to nonminimal operators by heat equation asymptotics on compact manifolds without boundary. We compute the lower-dimensional volume associated to nonminimal operators for five-dimensional compact manifolds with boundary and we also compute lower-dimensional volume associated to the De-Rham Hodge operators for six-dimensional compact manifolds with boundary. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4737847]
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页数:12
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