EQUIVARIANT HEAT INVARIANTS OF THE LAPLACIAN AND NONMININMAL OPERATORS ON DIFFERENTIAL FORMS  

作　　者：王勇 

机构地区：[1]School of Mathematics and Statistics Northeast Normal University

出　　处：《Acta Mathematica Scientia》2011年第3期805-814,共10页数学物理学报（B辑英文版）

基　　金：supported by NSFC(10801027);Fok Ying Tong Education Foundation(121003)

摘　　要：In this paper,we compute the first two equivariant heat kernel coeffcients of the Bochner Laplacian on differential forms.The first two equivariant heat kernel coeffcients of the Bochner Laplacian with torsion are also given.We also study the equivariant heat kernel coeffcients of nonminimal operators on differential forms and get the equivariant Gilkey-Branson-Fulling formula.In this paper,we compute the first two equivariant heat kernel coeffcients of the Bochner Laplacian on differential forms.The first two equivariant heat kernel coeffcients of the Bochner Laplacian with torsion are also given.We also study the equivariant heat kernel coeffcients of nonminimal operators on differential forms and get the equivariant Gilkey-Branson-Fulling formula.

关 键 词：equivariant heat kernel asymptotics Bochner Laplacian nonmininmal operators Gilkey-Branson-Fulling formula 

分 类 号：O175[理学—数学]