Highly connected manifolds with positive Ricci curvature
Differential Geometry
2009-03-02 v4 Algebraic Topology
Abstract
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.
Keywords
Cite
@article{arxiv.math/0508189,
title = {Highly connected manifolds with positive Ricci curvature},
author = {Charles P Boyer and Krzysztof Galicki},
journal= {arXiv preprint arXiv:math/0508189},
year = {2009}
}
Comments
This is the version published by Geometry & Topology on 29 November 2006