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Upper bound for the first eigenvalue of algebraic submanifolds

✍ Scribed by Jean-Pierre Bourguignon; Peter Li; Shing Tung Yau


Book ID
110557442
Publisher
European Mathematical Society
Year
1994
Tongue
English
Weight
324 KB
Volume
69
Category
Article
ISSN
0010-2571

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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