Al-Aqeel, Adnan and Bejancu, Aurel (2006) On Riemannian tangent bundles. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 22 (1). pp. 77-85. ISSN 0866-0174
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Abstract
We study the geometry of manifolds whose tangent bundle is endowed with a Riemannian metric. The Levi-Civita connection, Schouten-Van Kampen connection and Vranceanu connection are the main tools for this study. We obtain characterizations of special classes of vertical foliations and compare the sectional curvatures of the horizontal distribution with respect to the above connections.
| Item Type: | Article |
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| Uncontrolled Keywords: | Riemannian tangent bundle, Levi-Civita, Schouten-Van Kampen and Vranceanu connections, vertical foliation, horizontal distribution, foliations with bundle-like metric, totally geodesic foliations, sectional curvature |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 31 Jan 2024 14:42 |
| Last Modified: | 31 Jan 2024 14:42 |
| URI: | http://real.mtak.hu/id/eprint/186872 |
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