Showing papers by "Young Jin Suh published in 1996"

On semi-kaehler manifolds whose totally real bisectional curvature is bounded from below

Abstract: R.L. Bishop and S.I. Goldberg [3] introduced the notion of totally real bisectional curvature B(X, Y) on a Kaehler manifold M. It is determined by a totally real plane [X, Y] and its image [JX, JY] by the complex structure J. where [X, Y] denotes the plane spanned by linealy independent vector fields X, and Y. Moreover the above two planes [X, Y] and [JX, JY] are orthogonal to each other. And it is known that two orthonormal vectors X and Y span a totally real plane if and only if X, Y and JY are orthonormal.

Classification of Real Hypersurfaces in Complex Hyperbolic Space in Terms of Constant $\phi-holomorphic$ Sectional Curvatures

Abstract: In this paper we give a complete classification of real hypersurfaces in complex hyperbolic space on which the sectional curvature of planes is constant.

Some characterizations of ruled real hypersurfaces in a complex space form

Abstract: In this paper firstly we give the notion of ruled real hypersurfaces in a non-flat complex space form Mn.c/ and calculate the expression of the covariant derivative.rX A/Y of its Weingarten map A for X,Y in a distribution T0. Next we consider the -component g..rX A/Y;/D f. X; Y/; X; Y in T0, with which we study a characterization of ruled real hypersurfaces in Mn.c/. As an application of this characterization we can also obtain another characterization of these hypersurfaces in terms of Lie derivatives.

Classification of Real Hypersurfaces in Complex Space Forms in Terms of Curvature Tensors

Abstract: In this paper we give some complete classification of real hypersurfaces in complex space forms in terms of the covariant or Lie derivatives of the Riemannian curvature tensor R, which are restricted to the distribution in such a way that or for any X, Y in .