Gromoll type metrics on the tangent bundle
نویسنده
چکیده
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. 2000 MSC: 53B35, 53C07, 53C25, 53C55.
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