The geometry of Gauss map and shape operator in simply isotropic and pseudo-isotropic spaces
نویسندگان
چکیده
منابع مشابه
L_1 operator and Gauss map of quadric surfaces
The quadrics are all surfaces that can be expressed as a second degree polynomialin x, y and z. We study the Gauss map G of quadric surfaces in the 3-dimensional Euclidean space R^3 with respect to the so called L_1 operator ( Cheng-Yau operator □) acting on the smooth functions defined on the surfaces. For any smooth functions f defined on the surfaces, L_f=tr(P_1o hessf), where P_1 is t...
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ژورنال
عنوان ژورنال: Journal of Geometry
سال: 2019
ISSN: 0047-2468,1420-8997
DOI: 10.1007/s00022-019-0488-9