Cheeger Gromoll type metrics on the tangent bundle

2006/09/30 by Marian Ioan Munteanu, Munteanu, Marian Ioan
Mathematics · Medicine · #53B35 #53C07 #53C25 #53C55 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Pelvic and Acetabular Injuries #math.DG #msc:53B35 #msc:53C07 #msc:53C25 #msc:53C55

paper · pdf · doi:10.48550/arxiv.math/0610028

9 pages. to appear in Proceedings of fifth international symposium BioMathsPhys, Iasi, June 16-17, 2006

arxiv created 2006/09/30 · openalex publication_date 2006/09/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study a Riemanian metric on the tangent bundle T(M) of a Riemannian manifold M which generalizes the Cheeger Gromoll metric and a compatible almost complex structure which together with the metric confers to T(M) a structure of locally conformal almost Kählerian manifold. We found conditions under which T(M) is almost Kählerian, locally conformal Kählerian or Kählerian or when T(M) has constant sectional curvature or constant scalar curvature.

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