Invariant Surfaces under Hyperbolic Translations in Hyperbolic Space
نویسندگان
چکیده
In this paper, we consider hyperbolic rotation (G0), hyperbolic translation (G1) and horocyclic rotation (G2) groups in H3, which is called Minkowski model of hyperbolic space. Then, we investigate extrinsic differential geometry of invariant surfaces under subgroups of G0 in H3. Also, we give explicit parametrization of this invariant surfaces with respect to constant hyperbolic curvature of profile curves. Finally, we obtain some corollaries for flat and minimal invariant surfaces which is associated with de-Sitter and hyperbolic shape operator in H3.
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ورودعنوان ژورنال:
- J. Applied Mathematics
دوره 2014 شماره
صفحات -
تاریخ انتشار 2014