On the Calculus of the Spectrum of the Laplacian for functions in Lens Spaces

Gedeana Pantoja da Silva; Alexandre Casassola Gonçalves; Ferreira da Silva Rafael

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arXiv · 2411.03525

On the Calculus of the Spectrum of the Laplacian for functions in Lens Spaces

Gedeana Pantoja da Silva·Alexandre Casassola Gonçalves·Ferreira da Silva Rafael

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Abstract

We improve a specific method to obtain the dimension of the eigenspaces of the Laplace-Beltrami operator on lens spaces and establish some applications related to the explicit description of the dimension of the smallest positive eigenvalue and the parity of the dimensions of the eigenspaces.

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Gedeana Pantoja da Silva, Alexandre Casassola Gonçalves, Ferreira da Silva Rafael. 2024-11-05. On the Calculus of the Spectrum of the Laplacian for functions in Lens Spaces. https://arxiv.org/abs/2411.03525

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