An isoperimetric inequality for the second non-zero eigenvalue of the Laplacian on the projective plane

We prove an isoperimetric inequality for the second non-zero eigenvalue of the Laplace-Beltrami operator on the real projective plane. For a metric of the unit area this eigenvalue is not greater than 20\pi. This value is attained in the limit by a sequence of metrics of area one on the projective p...

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Hauptverfasser:	Nadirashvili, Nikolai S, Penskoi, Alexei V
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Differential Geometry Mathematics - Spectral Theory
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