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Shape operator $A_{H}$ for slant submanifolds in generalized complex space forms
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Abstract
In this article, we establish relations between the sectionalcurvature function K and the shape operator, and alsorelationship between the k-Ricci curvature and the shapeoperator for slant submanifolds in generalized complex space formswith arbitrary codimension.
참고문헌 (8)
- "Geometry of Slant submanifolds}", Katholieke Univ. Leuven
- Marcel Dekker, "Geometry of submanifolds}" (1973)
- Glasg. Math.J. 38, "Mean curvature and shapeoperator of isometric immersions in real space form}", pp.87~ (1996)
- Glasg. Math, "Relations betveen Riccicurvature and shape operator for submanifolds with arbitrarycodimensions}", 41, pp.33~ (1999)
- J. J. Konderak, "An example of an almostHermitian flat manifold which is not Hermitian}", pp.3159~ (1991), Riv. Mat. Univ.Parma
- K. Matsumoto, "Shapeoperator for slant submanifold in complex space forms}", 14, pp.169~177 (2000), Bull.Yamagata Univ. Natur. Sci. 14
- F. Triccrri, "Curvaturetensors on almost Hermitian manifolds}", pp.365~ (1981)
- M. M. Tripathi, "Some remarks on almostHermitian Manifolds}", pp.229~ (1994), Riv. Mat. Univ. Parma 3
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