Heat kernel estimates for the $\bar\partial$-Neumann problem on $G$-manifolds

Details Heat kernel estimates for the $\bar\partial$-Neumann problem on $G$-manifolds Heat kernel estimates for the $\bar\partial$-Neumann problem on $G$-manifolds

2010-09-24

arxiv.org/abs/1009.4900v1

Mathematics

Spectral Theory

22 pages

Scientific paper

We prove heat kernel estimates for the $\bar\partial$-Neumann Laplacian
acting in spaces of differential forms over noncompact, strongly pseudoconvex
complex manifolds with a Lie group symmetry and compact quotient. We also
relate our results to those for an associated Laplace-Beltrami operator on
functions.

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