Weyl laws on open manifolds

Details Weyl laws on open manifolds Weyl laws on open manifolds

2003-10-06

arxiv.org/abs/math/0310075v1

Mathematics

Differential Geometry

24 pages

Scientific paper

Under suitable invertibility hypothesis, the spectrum of the Dirac operator
on certain open spin Riemannian manifolds is discrete, and obeys a growth law
depending qualitatively on the (in)finiteness of the volume.

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