Bounds on Multiplicities of Laplace-Beltrami Operator Eigenvalues on the Real Projective Plane

Aleksandr S. Berdnikov, Nikolai S. Nadirashvili,Alexei V. Penskoi

arXiv: Differential Geometry（2016）

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摘要

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.

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