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Maps Interchanging f-Structures and their Harmonicity

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Abstract

We study some remarkable classes of metric f-structures on differentiable manifolds (namely, almost Hermitian, almost contact, almost S-structures and K-structures). We state and prove the necessary condition(s) for the existence of maps commuting such structures. The paper contains several new results, of geometric significance, on CR-integrable manifolds and the harmonicity of such maps.

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Authors and Affiliations

  1. Department of Mathematics, University of Windsor, Windsor, Ontario, N9B3P4, Canada

    K. L. Duggal

  2. Department of Mathematics, University of Bucharest, Bucharest, 70109, Romania

    S. Ianus

  3. Department of Mathematics, University of Bari, Bari, 70125, Italy

    A. M. Pastore

Authors
  1. K. L. Duggal
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  2. S. Ianus
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  3. A. M. Pastore
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Duggal, K.L., Ianus, S. & Pastore, A.M. Maps Interchanging f-Structures and their Harmonicity. Acta Applicandae Mathematicae 67, 91–115 (2001). https://doi.org/10.1023/A:1010676616509

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