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

2004/08/04 by D. D. Porosniuc, Dumitru Daniel Porosniuc, Porosniuc, Dumitru Daniel
Mathematics · Physics and Astronomy · #53C07 #53C15 #53C55 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C07 #msc:53C15 #msc:53C55

paper · pdf · doi:10.48550/arxiv.math/0408055

17 pages, LaTeX2e

arxiv created 2004/08/04 · openalex publication_date 2004/08/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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