Isoperimetric profile comparisons and Yamabe constants |
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Authors: | Jimmy Petean Juan Miguel Ruiz |
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Institution: | 1.CIMAT,Guanajuato,Mexico;2.Departamento de Matemáticas,FCEyN, Universidad de Buenos Aires,Buenos Aires,Argentina |
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Abstract: | We estimate from below the isoperimetric profile of
S2 ×\mathbb R2{S^2 \times {\mathbb R}^2} and use this information to obtain lower bounds for the Yamabe constant of
S2 ×\mathbb R2{S^2 \times {\mathbb R}^2} . This provides a lower bound for the Yamabe invariants of products S
2 × M
2 for any closed Riemann surface M. Explicitly we show that Y (S
2 × M
2) > (2/3)Y(S
4). |
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Keywords: | |
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