A class of locally symmetric Kaehler Einstein structures on the nonzero cotangent bundle of a space form

2004/07/21 by D. D. Porosniuc, Porosniuc, D. D.
Mathematics · #53C07 #53C15 #53C55 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C07 #msc:53C15 #msc:53C55

paper · pdf · doi:10.48550/arxiv.math/0407355

14 pages, LaTeX2e

arxiv created 2004/07/21 · arxiv updated 2009/12/01

Abstract

We obtain a class of locally symetric Kaehler Einstein structures on the nonzero cotangent bundle of a Riemannian manifold of positive constant sectional curvature. The obtained class of Kaehler Einstein structures depends on one essential parameter and cannot have constant holomorphic sectional curvature.

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