A class of locally symmetric Kaehler Einstein structures on the cotangent bundle of a space form
Differential Geometry
2007-05-23 v1
Abstract
We obtain a class of locally symmetric Kaehler Einstein structures on the cotangent bundle of a Riemannian manifold of negative sectional curvature. Similar results are obtained in the case of a Riemannian manifold of positive sectional curvature. The obtained class of Kaehler Einstein structures depends on one essential parameter and cannot have constant holomorphic sectional curvature.
Keywords
Cite
@article{arxiv.math/0407241,
title = {A class of locally symmetric Kaehler Einstein structures on the cotangent bundle of a space form},
author = {D. D. Porosniuc},
journal= {arXiv preprint arXiv:math/0407241},
year = {2007}
}
Comments
13 pages, LaTeX2e