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A comparison of the eigenvalues of the Dirac and Laplace operators on a two-dimensional torus

✍ Scribed by Ilka Agricola; Bernd Ammann; Thomas Friedrich


Publisher
Springer
Year
1999
Tongue
English
Weight
162 KB
Volume
100
Category
Article
ISSN
0025-2611

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A remark on the first eigenvalue of the
✍ Thomas Friedrich πŸ“‚ Article πŸ“… 1981 πŸ› John Wiley and Sons 🌐 English βš– 159 KB πŸ‘ 1 views

## By THOMAS FRIEDRICH of Berlin (Eingegangen am 9.9. 1980) Let M\* he a cony'act RIEMANNian spin inanifold with positive scalar curvature H and let R, denote its minimum. Consider the DIRAC operator D : r ( S ) + r ( S ) acting on sections of the associated spinor bundle S. If I.\* is the first p