Results 11 to 20 of about 114,266 (276)
The Gauss map of surfaces in PSL˜2(R) [PDF]
, 2015 We define a Gauss map for surfaces in the universal cover of the Lie group PSL2(R) endowed with a left-invariant Riemannian metric having a 4-dimensional isometry group. This Gauss map is not related to the Lie group structure. We prove that the Gauss
Daniel, Benoit +2 more
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SINGULARITIES OF HYPERBOLIC GAUSS MAPS [PDF]
Proceedings of the London Mathematical Society, 2003 In this paper we adopt the hyperboloid in Minkowski space as the model of hyperbolic space. We define the hyperbolic Gauss map and the hyperbolic Gauss indicatrix of a hypersurface in hyperbolic space. The hyperbolic Gauss map has been introduced by Ch. Epstein [J. Reine Angew. Math.
Izumiya, S., Pei, D-H, Sano, T.
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Ramification estimates for the hyperbolic Gauss map [PDF]
, 2008 We give the best possible upper bound on the number of exceptional values and the totally ramified value number of the hyperbolic Gauss map for pseudo-algebraic constant mean curvature one surfaces in the hyperbolic three-space and some partial results ...
Kawakami, Yu
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The Gauss Map and Nonholomorphic Harmonic Maps [PDF]
Proceedings of the American Mathematical Society, 1983 J. Eells and J. C. Wood [2] gave the fundamental method of construction of certain harmonic maps from Riemann surfaces to complex projective spaces. In this paper, we will construct nonholomorphic harmonic maps of Kaehler manifolds to complex Grassmann manifolds as the Gauss maps for holomorphic immersions of Kaehler manifolds to complex projective ...
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Isothermic Surfaces and the Gauss Map [PDF]
Proceedings of the American Mathematical Society, 1988 We give a necessary and sufficient condition for the Gauss map of an immersed surface M M in n n -space to arise simultaneously as the Gauss map of an anti-conformal immersion of M M into the same space.
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On the thermodynamic formalism for the Gauss map [PDF]
Communications in Mathematical Physics, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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MATHEMATICA SCANDINAVICA, 2011 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 $\mathfrak A$ considered separately by F. Boca and D. Mundici.
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On the Gauss map of $B$-scrolls
Tsukuba Journal of Mathematics, 1998 Let \(M\) be a ruled surface in the 3-dimensional Lorentz-Minkowski space \({\mathbb L}^3\) defined by \(X(s,t)=x(s)+tB(s)\), where \((x , F)\) is a null curve with frame \(F=\{A,B,C\}\). \(M\) is called a B-scroll if \(F\) is a Cartan frame, i.e., \(A, B, C\) are vector fields along \(x\) in \({\mathbb L}^3\) satisfying the conditions \(\langle A, A ...
Alias, Luis J. +3 more
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The Generalized Gauss Map and Applications
Rocky Mountain Journal of Mathematics, 1993 The authors define a Gauss map for hypersurfaces in a Riemannian parallelizable manifold and study its properties. Applying these results they generalize some classical results of Differential Geometry.
Ripoll, Jaime B., Sebastiani, Marcos
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