数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (3): 805-814.doi: 10.1016/S0252-9602(11)60277-4

• 论文 • 上一篇    下一篇

EQUIVARIANT HEAT INVARIANTS OF THE LAPLACIAN AND NONMININMAL OPERATORS DIFFERENTIAL FORMS

王勇   

  1. School of Mathematics and Statistics, Northeast Normal University, Changchun |130024, China
  • 收稿日期:2009-10-09 修回日期:2010-03-10 出版日期:2011-05-20 发布日期:2011-05-20
  • 基金资助:

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

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).

摘要:

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.

关键词: equivariant heat kernel asymptotics, Bochner Laplacian, nonmininmal operators, Gilkey-Branson-Fulling formula

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

中图分类号: 

  • 58J05