Journal of the Korean Mathematical Society (대한수학회지)
- Volume 33 Issue 4
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- Pages.1009-1038
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- 1996
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
ON SEMI-KAEHLER MANIFOLDS WHOSE TOTALLY REAL BISECTIONAL CURVATURE IS BOUNDED FROM BELOW
- Ki, U-Hang (Department of Mathematics Kyungpook University ) ;
- Suh, Young-Jin (Department of Mathematics Kyungpook University )
- Published : 1996.11.01
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.