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Weyl laws on open manifolds
- Source :
- Mathematische Annalen. 340:1-21
- Publication Year :
- 2007
- Publisher :
- Springer Science and Business Media LLC, 2007.
-
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.<br />24 pages
- Subjects :
- Mathematics - Differential Geometry
Curvature of Riemannian manifolds
58G50
General Mathematics
Spectrum (functional analysis)
Spectral geometry
Clifford analysis
Riemannian geometry
Dirac operator
symbols.namesake
Mathematics - Analysis of PDEs
Differential Geometry (math.DG)
Laplace–Beltrami operator
Law
Ricci-flat manifold
FOS: Mathematics
symbols
Mathematics::Differential Geometry
Analysis of PDEs (math.AP)
Mathematics
Subjects
Details
- ISSN :
- 14321807 and 00255831
- Volume :
- 340
- Database :
- OpenAIRE
- Journal :
- Mathematische Annalen
- Accession number :
- edsair.doi.dedup.....257cda9a625e64eebf19d7b5a024861f
- Full Text :
- https://doi.org/10.1007/s00208-007-0137-8