The First Eigenvalue of the Laplacian on $p$-Forms and Metric Deformations

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概要

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• We prove that the limits of the first eigenvalues of functions and $1$-forms for modified Gentile-Pagliara's metric deformation are both 0. It essentially means that this deformation is not a counter example of Berger's problem for $1$-forms.

• 東京大学の論文

著者

• Takahashi Junya

  Graduate School Of Mathematical Sciences The University Of Tokyo

• Takahashi Junya

  Graduate School Of Mathematical Sciences

関連論文

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• On the gap between the first eigenvalues of the Laplacian on functions and 1-forms
• Upper Bounds for the Eigenvalues of the Laplacian on Forms on Certain Riemannian Manifolds
• The First Eigenvalue of the Laplacian on $p$-Forms and Metric Deformations

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