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A Class of Kaehler Einstein Structures on the Nonzero Cotangent Bundle of a Space Form

Differential Geometry 2007-05-23 v1

Abstract

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

Keywords

Cite

@article{arxiv.math/0408055,
  title  = {A Class of Kaehler Einstein Structures on the Nonzero Cotangent Bundle of a Space Form},
  author = {Dumitru Daniel Porosniuc},
  journal= {arXiv preprint arXiv:math/0408055},
  year   = {2007}
}

Comments

17 pages, LaTeX2e

R2 v1 2026-07-22T17:08:28.480Z