Bounds on Multiplicities of Laplace-Beltrami Operator Eigenvalues on the Real Projective Plane
Differential Geometry
2016-12-15 v1 Spectral Theory
Abstract
The known upper bounds for the multiplicities of the Laplace-Beltrami operator eigenvalues on the real projective plane are improved for the eigenvalues with even indexes. Upper bounds for Dirichlet, Neumann and Steklov eigenvalues on the real projective plane with holes are also provided.
Keywords
Cite
@article{arxiv.1612.04805,
title = {Bounds on Multiplicities of Laplace-Beltrami Operator Eigenvalues on the Real Projective Plane},
author = {Aleksandr S. Berdnikov and Nikolai S. Nadirashvili and Alexei V. Penskoi},
journal= {arXiv preprint arXiv:1612.04805},
year = {2016}
}
Comments
LaTeX, 11 pages