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

作者：Yong, Wang^*

来源：Acta Mathematica Scientia, 2011, 31(3): 805-814.

DOI：10.1016/S0252-9602(11)60277-4

• equivariant heat kernel asymptotics
• Bochner Laplacian
• nonmininmal operators
• Gilkey-Branson-Fulling formula

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.

• 出版日期2011-5
• 单位东北师范大学