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Mathematics > Differential Geometry

arXiv:0710.2536 (math)
[Submitted on 12 Oct 2007 (v1), last revised 9 Nov 2007 (this version, v2)]

Title:Isoperimetric regions in spherical cones and Yamabe constants of $M\times S^1$

Authors:Jimmy Petean
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Abstract: Given closed Riemannian manifold $(M^n, g)$ of positive Ricci curvature $Ricci(g) \geq (n-1)g$ we study isoperimetric regions on the spherical cone over $M$. When $g$ is Einstein we use this to compute the Yamabe constant of $(M \times {\bf R}, g + dt^2)$ and so to obtain lower bounds for the Yamabe invariant of $M\times S^1$.
Comments: 14 pages, new references and a simplification of section 2
Subjects: Differential Geometry (math.DG)
Cite as: arXiv:0710.2536 [math.DG]
  (or arXiv:0710.2536v2 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.0710.2536

Submission history

From: Jimmy Petean [view email]
[v1] Fri, 12 Oct 2007 19:42:16 UTC (12 KB)
[v2] Fri, 9 Nov 2007 19:47:52 UTC (12 KB)
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