Journal of the Korean Mathematical Society (대한수학회지)
- Volume 32 Issue 3
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- Pages.471-482
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- 1995
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
On characterizations of real hypersurfaces of type B in a complex hyperbolic space
- Ahn, Seong-Soo (Department of Mathematics Dongshin University) ;
- Suh, Young-Jin (Department of Mathematics Kyungpook University )
- Published : 1995.08.01
Abstract
A complex n-dimensional Kaehlerian manifold of constant holomorphic sectional curvature c is called a comples space form, which is denoted by $M_n(c)$. A complete and simply connected complex space form consists of a complex projective space $P_nC$, a complex Euclidean space $C^n$ or a complex hyperbolic space $H_nC$, according as c > 0, c = 0 or c < 0. The induced almost contact metric structure of a real hypersurface M of $M_n(c)$ is denoted by $(\phi, \zeta, \eta, g)$.