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45 sonuçtan 1-3 arası sonuçlar
Sayfa 41
Let F : B(r) — > R3 be a surface parametrized along its asymptotic lines. This
means that the vectors dxF, dyF, dxF, dyF are orthogonal to the normal vector N :
B(r) —> S2. Surfaces of constant negative Gaussian curvature K = — 1 (K-
surfaces, ...
Let F : B(r) — > R3 be a surface parametrized along its asymptotic lines. This
means that the vectors dxF, dyF, dxF, dyF are orthogonal to the normal vector N :
B(r) —> S2. Surfaces of constant negative Gaussian curvature K = — 1 (K-
surfaces, ...
Sayfa 44
The following definition reflects the geometric similarities. Definition 3.1. 1) An m-
dimensional asymptotic lattice is a function F : Zm — > E3 with the property that,
for any n e Z"1, the point F(n) and all its neighbors F(n ± e*) are coplanar.
The following definition reflects the geometric similarities. Definition 3.1. 1) An m-
dimensional asymptotic lattice is a function F : Zm — > E3 with the property that,
for any n e Z"1, the point F(n) and all its neighbors F(n ± e*) are coplanar.
Sayfa 267
2, Pages 267-283 S 1061-0022(06)00903-4 Article electronically published on
February 10, 2006 ASYMPTOTIC DIMENSION OF A HYPERBOLIC SPACE AND
CAPACITY DIMENSION OF ITS BOUNDARY AT INFINITY S. BUYALO Abstract.
2, Pages 267-283 S 1061-0022(06)00903-4 Article electronically published on
February 10, 2006 ASYMPTOTIC DIMENSION OF A HYPERBOLIC SPACE AND
CAPACITY DIMENSION OF ITS BOUNDARY AT INFINITY S. BUYALO Abstract.
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absolutely continuous algebraic solutions amoebas analytic arbitrary assume asymptotic badly approximable Belyi function Bose gas bounded coefficients coincides compact condition conjugacy classes consider constant convergence convex Corollary correlation functions corresponding curves defined definition deformation denote dessins diagram differential dimension Dirac operator discrete edges eigenvalues element English transl equivalent estimate exists finite matrix functions formula G-cycle geodesic given Goursat problem graph hyperbolic identity implies inequality integral intersection invariant lattice Lemma linear Lipschitz Lipschitz map locally Math Mathematics Subject Classification metric space Newton polygon notation obtain Painleve parameter Phys polygon polynomial problem proof of Theorem Proposition prove quantum R-matrix rational functions relation respectively result right-hand side satisfies selfadjoint sequence sixth Painleve equation spectrum strongly regular graph Subsection subspace Suppose symmetric Theorem 2.1 theory transformation unique variables vector vertex vertices YB equation zero