Self-adjointness of the Gaffney Laplacian on Vector Bundles
Document Type
Article
Publication Date
12-26-2015
Abstract
We study the Gaffney Laplacian on a vector bundle equipped with a compatible metric and connection over a Riemannian manifold that is possibly geodesically incomplete. Under the hypothesis that the Cauchy boundary is polar, we demonstrate the self-adjointness of this Laplacian. Furthermore, we show that negligible boundary is a necessary and sufficient condition for the self-adjointness of this operator.
Publication Title
Mathematical Physics Analysis and Geometry
Volume
18
Issue
1
Digital Object Identifier (DOI)
10.1007/s11040-015-9188-3
ISSN
13850172
Citation Information
Bandara, & Milatovic, O. (2015). Self-adjointness of the Gaffney Laplacian on Vector Bundles. Mathematical Physics, Analysis, and Geometry, 18(1), 1–. https://doi.org/10.1007/s11040-015-9188-3
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