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A Kähler Einstein structure on the tangent bundle of a space form

International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 183-195, 2001., 2001
We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant. Similar results are obtained for a tube around zero section in the tangent bundle, in the case of the Riemannian manifolds of constant positive ...
Vasile Oproiu
wiley   +1 more source

On higher order geometry on anchored vector bundles

Open Mathematics, 2004
Popescu Paul
doaj   +1 more source

Curvatures of the diagonal lift from an affine manifold to the linear frame bundle

Open Mathematics, 2012
Kowalski Oldřich, Sekizawa Masami
doaj   +1 more source