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...
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| Format: | Article |
| Language: | English |
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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 |
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doaj-fdf44a7523b44b8994ed3c1c79f006572020-11-24T20:41:24ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125318319510.1155/S0161171201002009A Kähler Einstein structure on the tangent bundle of a space formVasile Oproiu0Faculty of Mathematics, University Al. I. Cuza, Iaşi, RomaniaWe 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.http://dx.doi.org/10.1155/S0161171201002009 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Vasile Oproiu |
| spellingShingle |
Vasile Oproiu A Kähler Einstein structure on the tangent bundle of a space form International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Vasile Oproiu |
| author_sort |
Vasile Oproiu |
| title |
A Kähler Einstein structure on the tangent bundle of a space form |
| title_short |
A Kähler Einstein structure on the tangent bundle of a space form |
| title_full |
A Kähler Einstein structure on the tangent bundle of a space form |
| title_fullStr |
A Kähler Einstein structure on the tangent bundle of a space form |
| title_full_unstemmed |
A Kähler Einstein structure on the tangent bundle of a space form |
| title_sort |
kähler einstein structure on the tangent bundle of a space form |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2001-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/S0161171201002009 |
| work_keys_str_mv |
AT vasileoproiu akahlereinsteinstructureonthetangentbundleofaspaceform AT vasileoproiu kahlereinsteinstructureonthetangentbundleofaspaceform |
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1716825270166487040 |