Isoperimetric Inequalities for Higher Eigenvalues of the Laplace—Beltrami Operator on Surfaces


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Abstract

Recent advances in isoperimetric inequalities for higher eigenvalues of the Laplace-Beltrami operator on the sphere and on the projective plane are discussed.

About the authors

Alexei V. Penskoi

Faculty of Mechanics and Mathematics; Faculty of Mathematics

Author for correspondence.
Email: penskoi@mccme.ru
Russian Federation, Moscow, 119991; ul. Usacheva 6, Moscow, 119048

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