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A Kato type inequality for Riemannian submersions with totally geodesic fibers

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Abstract

A Kato type inequality is proved for a riemannian submersion with totally geodesic fibers. It compares such a situation with the trivial fibration and generalizes analogous results for vector bundles.

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Authors and Affiliations

  1. Laboratoire de Mathématiques, Institut Fourier, B. P. 74, 38402, Saint-Martin-d'Heres, (France)

    Gérard Besson

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  1. Gérard Besson
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Besson, G. A Kato type inequality for Riemannian submersions with totally geodesic fibers. Ann Glob Anal Geom 4, 273–289 (1986). https://doi.org/10.1007/BF00128049

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  • DOI: https://doi.org/10.1007/BF00128049

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