Results 51 to 60 of about 2,226,189 (161)
Conformal hypersurfaces with the same Gauss map [PDF]
Transactions of the American Mathematical Society, 1993 In this paper we provide a complete classification of all hypersurfaces of Euclidean space which admit conformal deformations, other than the ones obtained through conformal diffeomorphisms of the ambient space, preserving the Gauss map.
Marcos Dajczer, Enaldo Vergasta
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On a Gauss-Kuzmin type problem for piecewise fractional linear maps with explicit invariant measure
International Journal of Mathematics and Mathematical Sciences, 2000 A random system with complete connections associated with a piecewise fractional linear map with explicit invariant measure is defined and its ergodic behaviour is investigated. This allows us to obtain a variant of Gauss-Kuzmin type problem for the
C. Ganatsiou
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New chaos function of composition function Gauss map and dyadic transformation map for digital image encryption [PDF]
ITM Web of ConferencesEncryption algorithms mostly use key-streams generated from random number generators. Several recent studies have shown that the random number generator used is a chaos function.
Mudrika Mudrika +2 more
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A note on higher-order Gauss maps [PDF]
Michigan Mathematical Journal, 2017 We study Gauss maps of order $k$, associated to a projective variety $X$ embedded in projective space via a line bundle $L.$ We show that if $X$ is a smooth, complete complex variety and $L$ is a $k$-jet spanned line bundle on $X$, with $k\geq 1,$ then the Gauss map of order $k$ has finite fibers, unless $X=\mathbb{P}^n$ is embedded by the Veronese ...
Di Rocco, Sandra +2 more
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Journal of Pure and Applied Algebra, 2015 We prove that the general fibre of the $i$-th Gauss map has dimension $m$ if and only if at the general point the $(i+1)$-th fundamental form consists of cones with vertex a fixed $\mathbb P^{m-1}$, extending a known theorem for the usual Gauss map. We prove this via a recursive formula for expressing higher fundamental forms.
Pietro De Poi, ILARDI, GIOVANNA
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Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1983 Let N be an n-dimensional complete orientable Riemannian manifold isometrically immersed in an \((n+1)\)-dimensional model space (M,0). When the Gauss map on N based at the point 0 has constant rank, then N is foliated by special submanifolds. This result is due to \textit{J. L. Weiner} in the case where the model space is a space form [Proc. Am. Math.
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Gravitational waves carrying orbital angular momentum
New Journal of Physics, 2016 Spinorial formalism is used to map every electromagnetic wave into the gravitational wave (within the linearized gravity). In this way we can obtain the gravitational counterparts of Bessel, Laguerre-Gauss, and other light beams carrying orbital angular ...
Iwo Bialynicki-Birula +1 more
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A Non-Zonal and Non-Singular Formulation of the Gauss-Krüger Projection for Polar Regions
MathematicsThe complex analytic continuation can be developed to enable the Gauss-Krüger projection to be non-zonal and non-singular in polar regions. The series expansion of the traditional Gauss-Krüger projection in terms of third flattening has been derived by ...
Dongquan Zhou +3 more
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Dual Associate Null Scrolls with Generalized 1-Type Gauss Maps
Mathematics, 2020 In this work, a pair of dual associate null scrolls are defined from the Cartan Frenet frame of a null curve in Minkowski 3-space. The fundamental geometric properties of the dual associate null scrolls are investigated and they are related in terms of ...
Jinhua Qian, Xueshan Fu, Seoung Dal Jung
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On the Gauss map of a class of hypersurfaces in ℍ4
AIP Conference Proceedings, 2018 We consider hypersurfaces of Riemannian space forms in terms of the type of their Gauss map, spherical Gauss mapor hyperbolic Gauss map. We give a brief summary of results on submanifolds withLkfinite type Gauss map fork>0. We alsoobtain some classification results.
Turgay, Nurettin Cenk, Güler, Erhan
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