A locally symmetric Kaehler Einstein structure on the cotangent bundle of a space form

2003/08/25 by D. D. Porosniuc
Mathematics · #math.DG #msc:53C07 #msc:53C15 #msc:53C55

paper · pdf

published as to appear in "Balkan Journal of Geometry and Its Applications" Vol.9, 2004 · 12 pages, LaTeX2e

arxiv created 2003/08/25 · arxiv updated 2009/12/01

Abstract

We obtain a locally symmetric Kaehler Einstein structure on the cotangent bundle of a Riemannian manifold of negative constant sectional curvature. Similar results are obtained on a tube around zero section in the cotangent bundle, in the case of a Riemannian manifold of positive constant sectional curvature. The obtained Kaehler Einstein structures cannot have constant holomorphic sectional curvature.

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