Highly connected manifolds with positive Ricci curvature

Details Highly connected manifolds with positive Ricci curvature Highly connected manifolds with positive Ricci curvature

2005-08-10

arxiv.org/abs/math/0508189v4

Geom. Topol. 10 (2006) 2219-2235

Mathematics

Differential Geometry

This is the version published by Geometry & Topology on 29 November 2006

Scientific paper

10.2140/gt.2006.10.2219

We prove the existence of Sasakian metrics with positive Ricci curvature on certain highly connected odd dimensional manifolds. In particular, we show that manifolds homeomorphic to the 2k-fold connected sum of S^{2n-1} x S^{2n} admit Sasakian metrics with positive Ricci curvature for all k. Furthermore, a formula for computing the diffeomorphism types is given and tables are presented for dimensions 7 and 11.

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