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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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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DOI: https://doi.org/10.1023/A:1006627815212