Spectral Geometry of the Laplacian
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9789813109087, 9789813109094

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Fundamental Materials of Riemannian Geometry

Spectral Geometry of the Laplacian ◽

10.1142/9789813109094_0001 ◽

2017 ◽

pp. 1-20

Keyword(s):

Riemannian Geometry

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The Heat Equation and the Set of Lengths of Closed Geodesics

Spectral Geometry of the Laplacian ◽

10.1142/9789813109094_0006 ◽

2017 ◽

pp. 143-228

Keyword(s):

Heat Equation ◽

Closed Geodesics

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The Payne, Pólya and Weinberger Type Inequalities for the Dirichlet Eigenvalues

Spectral Geometry of the Laplacian ◽

10.1142/9789813109094_0005 ◽

2017 ◽

pp. 119-141

Keyword(s):

Dirichlet Eigenvalues

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The Estimations of the kth Eigenvalue and Lichnerowicz-Obata’s Theorem

Spectral Geometry of the Laplacian ◽

10.1142/9789813109094_0004 ◽

2017 ◽

pp. 83-118

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FRONT MATTER

Spectral Geometry of the Laplacian ◽

10.1142/9789813109094_fmatter ◽

2017 ◽

pp. i-xii

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BACK MATTER

Spectral Geometry of the Laplacian ◽

10.1142/9789813109094_bmatter ◽

2017 ◽

pp. 291-297

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Negative Curvature Manifolds and the Spectral Rigidity Theorem

Spectral Geometry of the Laplacian ◽

10.1142/9789813109094_0007 ◽

2017 ◽

pp. 229-289

Keyword(s):

Negative Curvature ◽

Rigidity Theorem ◽

Spectral Rigidity

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Cheeger and Yau Estimates on the Minimum Positive Eigenvalue

Spectral Geometry of the Laplacian ◽

10.1142/9789813109094_0003 ◽

2017 ◽

pp. 53-82

Keyword(s):

Positive Eigenvalue

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The Space of Riemannian Metrics, and Continuity of the Eigenvalues

Spectral Geometry of the Laplacian ◽

10.1142/9789813109094_0002 ◽

2017 ◽

pp. 21-51

Keyword(s):

Riemannian Metrics ◽

Space Of Riemannian Metrics

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