Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (3): 350-362.

• Articles • Previous Articles     Next Articles

THE GEOMETRY OF HYPERSURFACES IN A KAEHLER MANIFOLD

 ZHONG Tong-De   

  1. Institute of Mathematics, Xiamen University, Xiamen 361005, China
  • Online:2001-07-06 Published:2001-07-06
  • Supported by:

    The Project (No.19771068) Supported by the National Science Foundation of China.

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

CLC Number: 

  • 32C17
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