A Kähler Einstein structure on the tangent bundle of a space form
We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant. Similar results are obtained for a tube around zero section in the tangent bundle, in the...
Main Author: | |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2001-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171201002009 |
Summary: | We obtain a Kähler Einstein structure on the tangent bundle of
a Riemannian manifold of constant negative curvature. Moreover, the
holomorphic sectional curvature of this Kähler Einstein
structure is constant. Similar results are obtained for a tube
around zero section in the tangent bundle, in the case of the
Riemannian manifolds of constant positive curvature. |
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ISSN: | 0161-1712 1687-0425 |