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Some Conditions on Real Hypersurfaces in Quaternionic Projective Spaces in Terms of Lie Derivatives

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Abstract

The purpose of this paper is to give a non-existence property with the Lie derivative of the structure tensors φ i and some characterizations of real hypersurfaces of type A 1, A 2 in a quaternionic projective space QP m in terms of the Lie derivatives of the second fundamental tensor A and the induced Riemannian metric g on the distribution D ⊥ = Span {U 2, U 2, U 3}.

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Authors and Affiliations

  1. Departamento de Geometría y Topología Facultad De Ciencias, Universidad De Granada, 18071, Granada, Spain

    J. De Dios Pérez & Seon Mi Lyu

  2. Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea

    Young Jin Suh

Authors
  1. J. De Dios Pérez
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  2. Seon Mi Lyu
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  3. Young Jin Suh
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De Dios Pérez, J., Lyu, S.M. & Suh, Y.J. Some Conditions on Real Hypersurfaces in Quaternionic Projective Spaces in Terms of Lie Derivatives. Acta Mathematica Hungarica 85, 241–251 (1999). https://doi.org/10.1023/A:1006627815212

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