Articles

EQUIVARIANT HEAT INVARIANTS OF THE LAPLACIAN AND NONMININMAL OPERATORS DIFFERENTIAL FORMS

  • WANG Yong
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  • School of Mathematics and Statistics, Northeast Normal University, Changchun |130024, China

Received date: 2009-10-09

  Revised date: 2010-03-10

  Online 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.

Cite this article

WANG Yong . EQUIVARIANT HEAT INVARIANTS OF THE LAPLACIAN AND NONMININMAL OPERATORS DIFFERENTIAL FORMS[J]. Acta mathematica scientia, Series B, 2011 , 31(3) : 805 -814 . DOI: 10.1016/S0252-9602(11)60277-4

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