Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold
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🧮 math.DG
keywords
geometrybundlemanifoldtangentbaserelationshipsriemanniansome
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We compute the curvature tensor of the tangent bundle of a Riemannian manifold endowed with a natural metric and we get some relationships between the geometry of the base manifold and the geometry of the tangent bundle.
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