Weyl laws on open manifolds
classification
🧮 math.DG
math.AP
keywords
manifoldsopencertaindependingdiracdiscretefinitenessgrowth
read the original abstract
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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