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Eigenvalue Monotonicity for the Ricci-Hamilton Flow

✍ Scribed by Li Ma


Publisher
Springer
Year
2006
Tongue
English
Weight
114 KB
Volume
29
Category
Article
ISSN
0232-704X

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Monotone variations of the first eigenva
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## Abstract The first Dirichlet eigenvalue for the Laplace operator of a doubly connected plane domain varies with the relative position of the inner hole. Under certain mild hypothesis it decreases as the two boundary curves get closer along some specific direction. We made this observation by ana