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Nonnegative curvature and cobordism type
Authors:Anand Dessai  Wilderich Tuschmann
Institution:(1) Department of Mathematics, University of Fribourg, Chemin du Musee 23, 1700 Fribourg, Switzerland;(2) Department of Mathematics, University of Kiel, Ludewig-Meyn-Strasse 4, 24098 Kiel, Germany
Abstract:We show that in each dimension n = 4k, k≥ 2, there exist infinite sequences of closed simply connected Riemannian n-manifolds with nonnegative sectional curvature and mutually distinct oriented cobordism type. W. Tuschmann’s research was supported in part by a DFG Heisenberg Fellowship.
Keywords:Nonnegative curvature  Cobordism type  Finiteness theorems
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