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THE GEOMETRY OF HYPERSURFACES IN A KAEHLER MANIFOLD |
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| Authors: | Zhong Tongde Institute of Mathematics Xiamen University Xiamen China |
| Institution: | Zhong Tongde Institute of Mathematics,Xiamen University,Xiamen 361005,China |
| Abstract: | The geometry of hypersurfaces of a Kaehler manifold are studied. Some well- known formulas and theorems in theory of surfaces of Euclidean 3-space are generalized to the hypersurfaces in a Kaehler manifold, such as Gauss's formulae, second fundamental form, the equation of Gauss and Codazzi and so forth. |
| Keywords: | Kaehler manifold hypersurface second fundamental form equation of Gauss and Codazzi |
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