关键词: Kaehler manifold, hypersurface, second fundamental form, equation of Gauss and Codazzi

Abstract:

The geometry of hypersurfaces of a Kaehler manifold are studied. Some well-known formulas and thorems 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.

Key words: Kaehler manifold, hypersurface, second fundamental form, equation of Gauss and Codazzi