The Generalized Gauss Map and Applications
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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Computational methods are developed for generating Gauss-type quadrature formulae having nodes of arbitrary multiplicity at one or both end points of the interval of integration. Positivity properties of the boundary weights are investigated numerically, and related conjectures are formulated. Applications are made to moment-preserving spline approximation. AMS subject classification: 65D30.
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The aim of this paper is to transfer the Gauss map, which is a Bernoulli shift for continued fractions, to the noncommutative setting. We feel that a natural place for such a map to act is on the AF algebra A considered separately by F. Boca and D. Mundici. The center of A is isomorphic to C[0, 1], so we first consider the action of the Gauss map on C[0, 1] and then extend the map to A and show...
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We prove that the Gauss map of a surface of constant mean curvature embedded in Minkowski space is harmonic. This fact will then be used to study 2+1 gravity for surfaces of genus higher than one. By considering the energy of the Gauss map, a canonical transform between the ADM reduced variables and holonomy variables can be constructed. This allows one to solve (in principle) for the evolution...
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We generalize the Gauss algorithm for the reduction of two–dimensional lattices from the l2-norm to arbitrary norms and extend Vallée’s analysis [J. Algorithms 12 (1991), 556-572] to the generalized algorithm.
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1993
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181072589