Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (3): 805-814.doi: 10.1016/S0252-9602(11)60277-4

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EQUIVARIANT HEAT INVARIANTS OF THE LAPLACIAN AND NONMININMAL OPERATORS DIFFERENTIAL FORMS

 WANG Yong   

  1. School of Mathematics and Statistics, Northeast Normal University, Changchun |130024, China
  • Received:2009-10-09 Revised:2010-03-10 Online:2011-05-20 Published:2011-05-20
  • Supported by:

    This work was supported by NSFC  (10801027) and Fok Ying Tong Education Foundation (121003).

Abstract:

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

Key words: equivariant heat kernel asymptotics, Bochner Laplacian, nonmininmal operators, Gilkey-Branson-Fulling formula

CLC Number: 

  • 58J05
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