Results 31 to 40 of about 2,083,931 (311)

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
core   +1 more source

Generalized Helical Hypersurface with Space-like Axis in Minkowski 5-Space

Universe, 2023
We introduce the generalized helical hypersurface having a space-like axis in five-dimensional Minkowski space. We compute the first and second fundamental form matrices, Gauss map, and shape operator matrix of the hypersurface.
Erhan Güler
doaj   +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

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
doaj   +1 more source

The Gauss Map and the Third Laplace-Beltrami Operator of the Rotational Hypersurface in 4-Space

Symmetry, 2018
We study and examine the rotational hypersurface and its Gauss map in Euclidean four-space E 4 . We calculate the Gauss map, the mean curvature and the Gaussian curvature of the rotational hypersurface and obtain some results.
Erhan Güler, H. H. Hacisalihoglu, Young Ho Kim   +2 more
semanticscholar   +1 more source

Cubic threefolds, Fano surfaces and the monodromy of the Gauss map [PDF]

, 2016
The Tannakian formalism allows to attach to any subvariety of an abelian variety an algebraic group in a natural way. The arising groups are closely related to moduli questions such as the Schottky problem, but their geometric interpretation is still ...
T. Krämer
semanticscholar   +2 more sources

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

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

The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature

Anais da Academia Brasileira de Ciências, 2013
In this paper we are concerned with the image of the normal Gauss map of a minimal surface immersed in ℝ3 with finite total curvature. We give a different proof of the following theorem of R.
PEDRO A. HINOJOSA, GILVANEIDE N. SILVA
doaj   +1 more source

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