Discrete spectrum and Weyl's asymptotic formula for incomplete manifolds

Details Discrete spectrum and Weyl's asymptotic formula for incomplete manifolds Discrete spectrum and Weyl's asymptotic formula for incomplete manifolds

2008-06-28

arxiv.org/abs/0806.4655v1

Advanced Studies in Pure Math., Minimal Surfaces, Geometric Analysis and Symplectic Geometry 34 (2002), 219-229

Mathematics

Differential Geometry

Scientific paper

Motivated by recent interest in the spectrum of the Laplacian of incomplete
surfaces with isolated conical singularities, we consider more general
incomplete m-dimensional manifolds with singularities on sets of codimension at
least 2. With certain restrictions on the metric, we establish that the
spectrum is discrete and satisfies Weyl's asymptotic formula.

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