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Existence and regularity of maximal metrics for the first Laplace eigenvalue on surfaces

✍ Scribed by R. Petrides


Book ID
125503561
Publisher
Springer
Year
2014
Tongue
English
Weight
488 KB
Volume
24
Category
Article
ISSN
1016-443X

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Upper bounds for the first eigenvalue of
✍ Ilka Agricola; Thomas Friedrich πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 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