On the Calculus of the Spectrum of the Laplacian for functions in Lens Spaces
da Silva, Gedeana Pantoja, Alexandre C. Gonçalves, Rafael, Ferreira da Silva · arXiv (Cornell University) · 2024
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.