2001/04/11 by Charles P. Boyer, Krzysztof Galicki, Michael Nakamaye
Mathematics · #math.DG #msc:53C25 #msc:53C12
published as Geometriae Dedicata 101: 93-102, 2003. · 9 pages
arxiv created 2001/04/11 · arxiv updated 2009/11/30
A Sasakian structure on a manifold is called \it positive if its basic first Chern class can be represented by a positive (1,1)-form with respect to its transverse holomorphic CR-structure. We prove a theorem that says that every positive Sasakian structure can be deformed to a Sasakian structure whose metric has positive Ricci curvature. This allows us by example to give a completely independent proof of a result of Sha and Yang [SY] that for every positive integer k the k-fold connected sum of S2× S3 admits metrics of positive Ricci curvature.