A class of Kähler Einstein structures on the cotangent bundle

  • V. Oproiu D. D. Poroşniuc
  • Published 2004

Abstract

We use some natural lifts defined on the cotangent bundle T * M of a Riemannian manifold (M, g) in order to construct an almost Hermi-tian structure (G, J) of diagonal type. The obtained almost complex structure J on T * M is integrable if and only if the base manifold has constant sectional curvature and the coefficients as well as their derivatives… (More)

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