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

2024/11/05 by da Silva, Gedeana Pantoja, Alexandre C. Gonçalves, Gonçalves, Alexandre Casassola +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2411.03525

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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