Isoperimetric regions in spherical cones and Yamabe constants of $M\times S^1$
Abstract
Given closed Riemannian manifold $(M^n, g)$ of positive Ricci curvature $Ricci(g) \geq (n1)g$ 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 $M\times S^1$.
 Publication:

arXiv eprints
 Pub Date:
 October 2007
 arXiv:
 arXiv:0710.2536
 Bibcode:
 2007arXiv0710.2536P
 Keywords:

 Mathematics  Differential Geometry
 EPrint:
 14 pages, new references and a simplification of section 2