Showing papers by "Young Jin Suh published in 1999"
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TL;DR: In this paper, the complex two-plane Grassmannian with both a Kahler and a quaternionic Kahler structure was applied to the normal bundle of a real hypersurface M in G
Abstract: The complex two-plane Grassmannian G
2(C
m+2
in equipped with both a Kahler and a quaternionic Kahler structure. By applying these two structures to the normal bundle of a real hypersurface M in G
2(C
m+2
one gets a one- and a three-dimensional distribution on M. We classify all real hypersurfaces M in G
2
C
m+2
, m≥3, for which these two distributions are invariant under the shape operator of M.
127 citations
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14 citations
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TL;DR: In this paper, the covariant derivative of the Weingarten map in the direction of the structure vector has been used to characterize ruled real hypersurfaces in complex space forms.
Abstract: The purpose of this paper is to give another new characterization of ruled real hypersurfaces in a complex space form (c), c0 in terms of the covariant derivative of its Weingarten map in the direction of the structure vector .
5 citations
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TL;DR: In this paper, the authors give a non-existence property with the Lie derivative of the structure tensors φi and some characterizations of real hypersurfaces of type A1, A2 in a quaternionic projective space QPm in terms of the Lie derivatives of the second fundamental tensor A and the induced Riemannian metric g on the distribution D⊥ = Span {U2, U2, u2, etc.
Abstract: The purpose of this paper is to give a non-existence property with the Lie derivative of the structure tensors φi and some characterizations of real hypersurfaces of type A1, A2 in a quaternionic projective space QPm in terms of the Lie derivatives of the second fundamental tensor A and the induced Riemannian metric g on the distribution D⊥ = Span {U2, U2, U3}.
1 citations
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TL;DR: In this article, a complete classification of real hypersurfaces in a quaternionic projective space Q P m with 𝒟 ⊥ -recurrent second fundamental tensor under certain condition on the orthogonal distribution is given.
Abstract: In this paper, we give a complete classification of real
hypersurfaces in a quaternionic projective space Q P m with 𝒟 ⊥ -recurrent second fundamental tensor under certain condition on the orthogonal distribution 𝒟 .