Journal of the Ramanujan Mathematical Society

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Riemannian Metrics on Some Fiber Bundles


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1 Department of Mathematical Science, Graduate School of Science and Technology, Nugata University, Niigata, 950-21, Japan
     

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There are many manifolds with a fiber bundle structure and any fiber bundle can be considered as a fiber bundle associated with a suitable principal fiber bundle. G.R. Jensen ([3]) defined an Riemannian metric on a principal fiber bundle over a Riemannian manifold and calculate the curvature tensor and Ricci tensor explicitly.
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  • Riemannian Metrics on Some Fiber Bundles

Abstract Views: 232  |  PDF Views: 0

Authors

Takashi Oguro
Department of Mathematical Science, Graduate School of Science and Technology, Nugata University, Niigata, 950-21, Japan

Abstract


There are many manifolds with a fiber bundle structure and any fiber bundle can be considered as a fiber bundle associated with a suitable principal fiber bundle. G.R. Jensen ([3]) defined an Riemannian metric on a principal fiber bundle over a Riemannian manifold and calculate the curvature tensor and Ricci tensor explicitly.