Equivariant heat invariants of the Laplacian and nonminimal operators on differential forms

DOI10.1016/S0252-9602(11)60297-XzbMATH Open1240.58014arXiv0907.5456MaRDI QIDQ655905

Yong Wang

Publication date: 27 January 2012

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

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 nonmininmal operators on differential forms and get the equivariant Gilkey-Branson-Fulling formula.

Full work available at URL: https://arxiv.org/abs/0907.5456

zbMATH Keywords

Bochner Laplacianequivariant heat kernel asymptoticsGilkey-Branson-Fulling formulanon-minimal operators

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05)

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