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Abstract:

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.

Registro:

Documento: Artículo
Título:Isoperimetric profile comparisons and Yamabe constants
Autor:Petean, J.; Ruiz, J.M.
Filiación:CIMAT, A.P. 402, 36000 Guanajuato, GTO, Mexico
Departamento de Matemáticas, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina
Palabras clave:Isoperimetric regions; Yamabe constants
Año:2011
Volumen:40
Número:2
Página de inicio:177
Página de fin:189
DOI: http://dx.doi.org/10.1007/s10455-011-9252-6
Título revista:Annals of Global Analysis and Geometry
Título revista abreviado:Ann. Global Anal. Geom.
ISSN:0232704X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0232704X_v40_n2_p177_Petean

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Citas:

---------- APA ----------
Petean, J. & Ruiz, J.M. (2011) . Isoperimetric profile comparisons and Yamabe constants. Annals of Global Analysis and Geometry, 40(2), 177-189.
http://dx.doi.org/10.1007/s10455-011-9252-6
---------- CHICAGO ----------
Petean, J., Ruiz, J.M. "Isoperimetric profile comparisons and Yamabe constants" . Annals of Global Analysis and Geometry 40, no. 2 (2011) : 177-189.
http://dx.doi.org/10.1007/s10455-011-9252-6
---------- MLA ----------
Petean, J., Ruiz, J.M. "Isoperimetric profile comparisons and Yamabe constants" . Annals of Global Analysis and Geometry, vol. 40, no. 2, 2011, pp. 177-189.
http://dx.doi.org/10.1007/s10455-011-9252-6
---------- VANCOUVER ----------
Petean, J., Ruiz, J.M. Isoperimetric profile comparisons and Yamabe constants. Ann. Global Anal. Geom. 2011;40(2):177-189.
http://dx.doi.org/10.1007/s10455-011-9252-6