Some conditions on real hypersurfaces in quaternionic projective spaces in terms of lie derivatives
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作者:
De Dios Pérez J.
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机构:
Depto. de Geometria y Topologia, Facultad de Ciencias, Universidad de GranadaDepto. de Geometria y Topologia, Facultad de Ciencias, Universidad de Granada
De Dios Pérez J.
[1
]
Lyu S.M.
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机构:Depto. de Geometria y Topologia, Facultad de Ciencias, Universidad de Granada
Lyu S.M.
Suh Y.J.
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机构:
Department of Mathematics, Kyungpook National UniversityDepto. de Geometria y Topologia, Facultad de Ciencias, Universidad de Granada
Suh Y.J.
[2
]
机构:
[1] Depto. de Geometria y Topologia, Facultad de Ciencias, Universidad de Granada
[2] Department of Mathematics, Kyungpook National University
Projective Space;
Structure Tensor;
Real Hypersurface;
Fundamental Tensor;
Quaternionic Projective Space;
D O I:
10.1023/A:1006627815212
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摘要:
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 {U1, U2, U3}.