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Titlebook: Riemannian Topology and Geometric Structures on Manifolds; Krzysztof Galicki,Santiago R. Simanca Book 2009 Birkhäuser Boston 2009 Area.Coh

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On the Geometry of Cohomogeneity One Manifolds with Positive Curvature,s have this property, but some potential families for new examples in dimension 7 arise as well. We discuss the geometry of these known examples and the connection that the candidates have with self-dual Einstein metrics..There are very few known examples of manifolds with positive sectional curvatu
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Book 2009 with original results, and plausible problems of interest for future research...Contributors: C.P. Boyer, J. Cheeger, X. Dai, K. Galicki, P. Gauduchon, N. Hitchin, L. Katzarkov, J. Kollár, C. LeBrun, P. Rukimbira, S.R. Simanca, J. Sparks, C. van Coevering, and W. Ziller..
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The Sasaki Cone and Extremal Sasakian Metrics,whose Sasaki cone coincides with the extremal set, and examples where the extremal set is empty. We end up by proving that a conjecture of Orlik concerning the torsion of the homology groups of these links holds in the five-dimensional case.
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