Isoperimetric profile comparisons and Yamabe constants

We estimate from below the isoperimetric profile of S2 ×ℝ2 and use this information to obtain lower bounds for the Yamabe constant of S2 ×ℝ2.This provides a lower bound for the Yamabe invariants of products S2 × M2 for any closed Riemann surface M. Explicitly we show that Y (S2 × M2 > (2/3)Y(...

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Detalles Bibliográficos
Autores principales: Petean, J., Ruiz, J.M.
Formato: JOUR
Materias:
Isoperimetric regions
Yamabe constants
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0232704X_v40_n2_p177_Petean
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We estimate from below the isoperimetric profile of S2 ×ℝ2 and use this information to obtain lower bounds for the Yamabe constant of S2 ×ℝ2.This provides a lower bound for the Yamabe invariants of products S2 × M2 for any closed Riemann surface M. Explicitly we show that Y (S2 × M2 > (2/3)Y(S4). © 2011 Springer Science+Business Media B.V.

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