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

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

2007-10-12

arxiv.org/abs/0710.2536v2

Mathematics

Differential Geometry

14 pages, new references and a simplification of section 2

Scientific paper

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 $M\times S^1$.

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