A locally symmetric Kaehler Einstein structure on a tube in the nonzero cotangent bundle of a space form

2003/08/29 by D. D. Porosniuc, Porosniuc, D. D. · 2 citations
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/0308290

13 pages, LaTeX2e

arxiv created 2003/08/29 · openalex publication_date 2003/08/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain a locally symmetric Kaehler Einstein structure on a tube in the nonzero cotangent bundle of a Riemannian manifold of positive constant sectional curvature. The obtained Kaehler Einstein structure cannot have constant holomorphic sectional curvature.

Cited by

• Cotangent Bundles with General Natural Kahler Structures
• The Holomorphic Sectional Curvature of General Natural KÄhler Structures on Cotangent Bundles

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