Sharp Upper Bounds of the First Eigenvalues of the Laplacian Operators on Closed Surfaces

Date Issued
2014
Date
2014
Author(s)
Zhao, Kai-Wei
URI
Abstract
In this thesis, we will summarize some approaches to obtain sharp upper bounds of the first nonzero eigenvalues of the Laplacian operators on closed surfaces, including sphere S2, real projective plane RP2 and torus T2, in terms of their areas.
Subjects
拉普拉斯算子
特徵值問題
譜幾何
最優上界
最優不等式
Type
thesis
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ntu-103-R01221005-1.pdf

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(MD5):e4ca360eb4ab489f7823606c0219e14a

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