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Annali di Matematica Pura ed Applicata

, Volume 121, Issue 1, pp 387–396 | Cite as

OnV-Killing forms in a locally conformal Kähler manifold with the parallel lee form

  • Toyoko Kashiwada
Article
  • 16 Downloads

Summary

We shall introduce a 1-form which is called V-Killing form in a locally conformal Köhler manifold with the parallel Lee form and prove that this form has similar properties of C-Killing form in a Sasakian manifold. We obtain that a V-harmonic form is invariant by a V-Killing form.

Keywords

Sasakian Manifold 
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Bibliography

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    S. I. Goldberg,Curvature and Homology, Academic Press, New York, 1962.MATHGoogle Scholar
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    T. Kashiwada,Some properties of locally conformal Kähler manifolds, to appear.Google Scholar
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    T. Kashiwada,On V-harmonic forms in compact locally conformal Kähler manifolds with the parallel Lee form, to appear.Google Scholar
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    Y. Ogawa,On C-Killing forms in a compact Sasakian space, Tôhoku Math. Journ.,19 (1967), pp. 467–484.MATHMathSciNetGoogle Scholar
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    I. Vaisman,On locally conformal almost Kähler manifolds, Israel J. Math.,24 (1976), pp. 21–38.MathSciNetCrossRefGoogle Scholar

Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1979

Authors and Affiliations

  • Toyoko Kashiwada
    • 1
  1. 1.TokyoJapan

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