On the Yamabe constants of S2×R3 and S3×R2

We compare the isoperimetric profiles of S2×R3 and of S3×R2 with that of a round 5-sphere (of appropriate radius). Then we use this comparison to obtain lower bounds for the Yamabe constants of S2×R3 and S3×R2. Explicitly we show that Y(S3×R2,[g0 3+dx 2])>(3/4)Y(S5) and Y(S2×R3,[g0 2+dx 2])&a...

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Autores principales: Petean, J., Ruiz, J.M.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09262245_v31_n2_p308_Petean
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