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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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
id todo:paper_0232704X_v40_n2_p177_Petean
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spelling todo:paper_0232704X_v40_n2_p177_Petean2023-10-03T15:11:18Z Isoperimetric profile comparisons and Yamabe constants Petean, J. Ruiz, J.M. Isoperimetric regions 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(S4). © 2011 Springer Science+Business Media B.V. Fil:Petean, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0232704X_v40_n2_p177_Petean
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Isoperimetric regions
Yamabe constants
spellingShingle Isoperimetric regions
Yamabe constants
Petean, J.
Ruiz, J.M.
Isoperimetric profile comparisons and Yamabe constants
topic_facet Isoperimetric regions
Yamabe constants
description 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.
format JOUR
author Petean, J.
Ruiz, J.M.
author_facet Petean, J.
Ruiz, J.M.
author_sort Petean, J.
title Isoperimetric profile comparisons and Yamabe constants
title_short Isoperimetric profile comparisons and Yamabe constants
title_full Isoperimetric profile comparisons and Yamabe constants
title_fullStr Isoperimetric profile comparisons and Yamabe constants
title_full_unstemmed Isoperimetric profile comparisons and Yamabe constants
title_sort isoperimetric profile comparisons and yamabe constants
url http://hdl.handle.net/20.500.12110/paper_0232704X_v40_n2_p177_Petean
work_keys_str_mv AT peteanj isoperimetricprofilecomparisonsandyamabeconstants
AT ruizjm isoperimetricprofilecomparisonsandyamabeconstants
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