A Surface which has a Family of Geodesics of Curvature
نویسنده
چکیده
We will study a surface in R without any umbilical point such that the integral curves of some principal distribution are geodesics. In particular, the lines of curvature of such a surface will be characterized intrinsically and extrinsically: the semisurface structure of such a surface will be characterized in terms of local representation of the first fundamental form; the curvatures and the torsions of the lines of curvature as space curves will be characterized. MSC 2000: 53A05, 53A99, 53B25
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