Geometry and Topology of Some Fibered Riemannian Manifolds |
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| Authors: | E I Yakovlev T A Gonchar |
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| Institution: | 1.Nizhny Novgorod State University,Nizhny Novgorod,Russia |
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| Abstract: | We investigate a principal G-bundle with G-invariant Riemannian metric on its total space. We derive formulas describing the Levi-Civita connection and curvatures in two-dimensional directions. We obtain estimates of the influence of properties of sectional curvatures to topological invariants of the bundle. |
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