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Upper bounds of small Eigenvalues of the Dirac operator and isometric immersions

โœ Scribed by Ulrich Bunke


Publisher
Springer
Year
1991
Tongue
English
Weight
302 KB
Volume
9
Category
Article
ISSN
0232-704X

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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