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A spin-conformal lower bound of the first positive Dirac eigenvalue

โœ Scribed by Bernd Ammann


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
260 KB
Volume
18
Category
Article
ISSN
0926-2245

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โœฆ Synopsis


Let D be the Dirac operator on a compact spin manifold M. Assume that 0 is in the spectrum of D. We prove the existence of a lower bound on the first positive eigenvalue of D depending only on the spin structure and the conformal type.


๐Ÿ“œ SIMILAR VOLUMES


Upper bounds for the first eigenvalue of
โœ Ilka Agricola; Thomas Friedrich ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 734 KB

In this paper we will prove new extrinsic upper bounds for the eigenvalues of the Dirac operator on an isometrically immersed surface M 2 ~ ~3 as well as intrinsic bounds for two-dimensional compact manifolds of genus zero and genus one. Moreover, we compare the different estimates of the eigenvalue