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...
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | JOUR |
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_09262245_v31_n2_p308_Petean |
| Aporte de: |
| 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 |
| _version_ |
1807322533701091328 |