On the geometry of the Mus-Cheeger-Gromoll metric
| Autor: | F. Latti, D. Mustapha |
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| Rok vydání: | 2022 |
| Zdroj: | Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science. :121-138 |
| ISSN: | 2810-2037 2810-2029 |
| DOI: | 10.31926/but.mif.2022.2.64.1.9 |
| Popis: | Let (M, g) be an n-dimensional smooth Riemannian manifold. In the present paper, we introduce a new class of natural metrics denoted by G and called the Mus-Cheeger-Gromoll metric on the tangent bundle TM. We calculate its Levi-Civita connection and Riemannian curvature tensor. Also, we study the geometry of (TM, G). |
| Databáze: | OpenAIRE |
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