Sharp Upper Bounds of the First Eigenvalues of the LaplacianOperators on Closed Surfaces

碩士 === 國立臺灣大學 === 數學研究所 === 102 === 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....

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Bibliographic Details
Main Authors: Kai-Wei Zhao, 趙凱衞
Other Authors: 李瑩英
Format: Others
Language:en_US
Published: 2014
Online Access:http://ndltd.ncl.edu.tw/handle/38957580616086516800