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Riemannian manifolds carrying a pair of skew symmetric conformal vector fields

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Abstract

We deal with a Riemannian manifoldM carrying a pair of skew symmetric conformal vector fields (X, Y). The existence of such a pairing is determined by an exterior differential system in involution (in the sense of Cartan). In this case,M is foliated by 3-dimensional totally geodesic submanifolds. Additional geometric properties are proved.

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Authors and Affiliations

  1. Faculty of Mathematics, Str. Academiei 14, 70109, Bucharest, Romania

    A. Mihai

  2. 59 Avenue Emile Zola, 75015, Paris, France

    R. Rosca

Authors
  1. A. Mihai
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  2. R. Rosca
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Supported by a JSPS postdoctoral fellowship.

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Mihai, A., Rosca, R. Riemannian manifolds carrying a pair of skew symmetric conformal vector fields. Rend. Circ. Mat. Palermo 53, 93–102 (2004). https://doi.org/10.1007/BF02921430

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  • DOI: https://doi.org/10.1007/BF02921430

Math. Subject Classification 2000

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