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The Mixed Curvatures on C N

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Abstract

The aim of the present paper is devoted to the investigation of some geometrical properties on the middle envelope in terms of the invariants of the third quadratic form of the normal line congruence CN . The mixed middle curvature and mixed curvature on CN are obtained in tenus of the Mean and Gauss curvatures of the surface of reference. Our study is considered as a continuation to Stephanidis ([1], [2], [3], [4], [5]). The technique adapted here is based on the methods of moving frames and their related exteriour forms [6] and [7].

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References

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Authors and Affiliations

  1. Maths. Dept. Faculty of Science, Assiut University, Assiut, Egypt

    Nassar H. Abdel-All & A. Maher

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  1. Nassar H. Abdel-All
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  2. A. Maher
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Correspondence to Nassar H. Abdel-All.

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Abdel-All, N.H., Maher, A. The Mixed Curvatures on C N . Results. Math. 39, 1–10 (2001). https://doi.org/10.1007/BF03322671

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  • DOI: https://doi.org/10.1007/BF03322671

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