Highly connected manifolds with positive Ricci curvature
نویسندگان
چکیده
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 × S 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. AMS Classification 53C25,57R55
منابع مشابه
Highly Connected Manifolds with Positive Ricci Curvature Charles P. Boyer and Krzysztof Galicki
An important problem in global Riemannian geometry is that of describing the class of manifolds that admit metrics of positive Ricci curvature. The only known obstructions for obtaining such metrics comes from either the classical Myers theorem or the obstructions to the existence of positive scalar curvature which is fairly well understood (see the recent review article [RS01] for discussion a...
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