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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Detalles Bibliográficos
Autores principales:	Petean, J., Ruiz, J.M.
Formato:	JOUR
Materias:	Isoperimetric profile Yamabe constants
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_09262245_v31_n2_p308_Petean
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_09262245_v31_n2_p308_Petean
record_format	dspace
spelling	todo:paper_09262245_v31_n2_p308_Petean2023-10-03T15:46:33Z On the Yamabe constants of S2×R3 and S3×R2 Petean, J. Ruiz, J.M. Isoperimetric profile Yamabe constants 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])>0.63Y(S5). We also obtain explicit lower bounds in higher dimensions and for products of Euclidean space with a closed manifold of positive Ricci curvature. The techniques are a more general version of those used by the same authors in Petean and Ruiz (2011) [15] and the results are a complement to the work developed by B. Ammann, M. Dahl and E. Humbert to obtain explicit gap theorems for the Yamabe invariants in low dimensions. © 2013 Elsevier 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_09262245_v31_n2_p308_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 profile Yamabe constants
spellingShingle	Isoperimetric profile Yamabe constants Petean, J. Ruiz, J.M. On the Yamabe constants of S2×R3 and S3×R2
topic_facet	Isoperimetric profile Yamabe constants
description	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])>0.63Y(S5). We also obtain explicit lower bounds in higher dimensions and for products of Euclidean space with a closed manifold of positive Ricci curvature. The techniques are a more general version of those used by the same authors in Petean and Ruiz (2011) [15] and the results are a complement to the work developed by B. Ammann, M. Dahl and E. Humbert to obtain explicit gap theorems for the Yamabe invariants in low dimensions. © 2013 Elsevier B.V.
format	JOUR
author	Petean, J. Ruiz, J.M.
author_facet	Petean, J. Ruiz, J.M.
author_sort	Petean, J.
title	On the Yamabe constants of S2×R3 and S3×R2
title_short	On the Yamabe constants of S2×R3 and S3×R2
title_full	On the Yamabe constants of S2×R3 and S3×R2
title_fullStr	On the Yamabe constants of S2×R3 and S3×R2
title_full_unstemmed	On the Yamabe constants of S2×R3 and S3×R2
title_sort	on the yamabe constants of s2×r3 and s3×r2
url	http://hdl.handle.net/20.500.12110/paper_09262245_v31_n2_p308_Petean
work_keys_str_mv	AT peteanj ontheyamabeconstantsofs2r3ands3r2 AT ruizjm ontheyamabeconstantsofs2r3ands3r2
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On the Yamabe constants of S2×R3 and S3×R2

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