Results 51 to 60 of about 2,113,538 (360)

On higher Gauss maps

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
openaire   +5 more sources

Classifications of Canal Surfaces with the Gauss Maps in Minkowski 3-Space

Mathematics, 2020
In this work, we study the canal surfaces foliated by pseudo spheres S12 along a Frenet curve in terms of their Gauss maps in Minkowski 3-space. Such kind of surfaces with pointwise 1-type Gauss maps are classified completely.
Jinhua Qian, Xueqian Tian, Xueshan Fu, Young Ho Kim   +3 more
doaj   +1 more source

Stable Plane-Gauss Maps on Closed Orientable Surfaces

Trends in Computational and Applied Mathematics, 2023
  The aim of this paper is to study the couple of stable plane Gauss maps f = (f2, f3): M→ R^2×S^2 from a global point of view, where M is a smooth closed orientable surface, f2 is a projection and f3 is Gauss map.
C. M. de Jesus, P. D. Romero, L. J. Santos   +2 more
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Tubular Surface Having Pointwise 1-type Gauss Map in Euclidean 4-Space

International Electronic Journal of Geometry, 2019
In this paper, we deal with a tubular surface in Euclidean 4 -space E 4 . We study this surface with respect to its Gauss map. We show that there is not any tubular surface having harmonic Gauss map and we give the complete classification of tubular ...
I. Kişi, G. Öztürk
semanticscholar   +1 more source

The degree of the Gauss map of the theta divisor [PDF]

, 2016
We study the degree of the Gauss map of the theta divisor of principally polarised complex abelian varieties. We use this to obtain a bound on the multiplicity of the theta divisor along irreducible components of its singular locus, and apply this bound ...
G. Codogni, S. Grushevsky, E. Sernesi
semanticscholar   +1 more source

A study on efficient chaotic modeling via fixed-memory length fractional Gauss maps [PDF]

Iranian Journal of Numerical Analysis and Optimization
This paper investigates the dynamic behavior of the fractional Gauss map with fixed memory length, highlighting its potential for efficient chaotic modeling.
A. Bellout, R. Bououden, S.E.I. Bouzeraa, M. Berkal   +3 more
doaj   +1 more source

A noncommutative Gauss map

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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canal surface, Gauss map, Laplace operator, pseudo hyperbolic sphere, Minkowski 3-space

AIMS Mathematics, 2021
In this paper, we mainly investigate long-time behavior for viscoelastic equation with fading memory $ u_{tt}-\Delta u_{tt}-\nu \Delta u+\int_{0}^{+\infty}k'(s)\Delta u(t-s)ds+f(u) = g(x).
Jiangwei Zhang, Yongqin Xie
doaj   +1 more source

Harmonic maps in unfashionable geometries

, 2001
We describe some general constructions on a real smooth projective 4-quadric which provide analogues of the Willmore functional and conformal Gauss map in both Lie sphere and projective differential geometry.
Burstall, F. E., Hertrich-Jeromin, U.
core   +1 more source

A Gauss-Kuzmin-Lévy theorem for a certain continued fraction

International Journal of Mathematics and Mathematical Sciences, 2004
We consider an interval map which is a generalization of the well-known Gauss transformation. In particular, we prove a result concerning the asymptotic behavior of the distribution functions of this map.
Hei-Chi Chan
doaj   +1 more source