Results 291 to 300 of about 114,046 (322)
Some of the next articles are maybe not open access.
Exponentially Harmonic Maps, Gauss Maps and Gauss Sections
Mediterranean Journal of Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Mold Accessibility via Gauss Map Analysis
Journal of Computing and Information Science in Engineering, 2004Abstract In manufacturing processes like injection molding or die casting, a two-piece mold is required to be separable, that is, be able to have both pieces of the mold removed in opposite directions while interfering neither with the mold nor with each other.
G. Elber, null Xianming Chen, E. Cohen
openaire +1 more source
Functional Analysis and Its Applications, 1987
The classical Gauss map \(\gamma\) : \(X^ n\to G(N,n)\) associates to a point x of a nonsingular projective algebraic variety \(X^ n\subset {\mathbb{P}}^ N\) the point in the Grassmann variety G(N,n) of n-dimensional linear subspaces in \({\mathbb{P}}^ N\) corresponding to the embedded tangent space \(T_{X,x}\) to X at x.
openaire +1 more source
The classical Gauss map \(\gamma\) : \(X^ n\to G(N,n)\) associates to a point x of a nonsingular projective algebraic variety \(X^ n\subset {\mathbb{P}}^ N\) the point in the Grassmann variety G(N,n) of n-dimensional linear subspaces in \({\mathbb{P}}^ N\) corresponding to the embedded tangent space \(T_{X,x}\) to X at x.
openaire +1 more source
1979
An oriented n-surface in ℝ n +l is more than just an n-surface S, it is an n-surface S together with a smooth unit normal vector field N on S. The function N:S → ℝ n +1 associated with the vector field N by N(p) = (p, N(p)), p ∈ S, actually maps S into the unit n-sphere S n ⊂ ℝ n +1 since ∥N(p)∥ = 1 for all p ∈ S.
openaire +1 more source
An oriented n-surface in ℝ n +l is more than just an n-surface S, it is an n-surface S together with a smooth unit normal vector field N on S. The function N:S → ℝ n +1 associated with the vector field N by N(p) = (p, N(p)), p ∈ S, actually maps S into the unit n-sphere S n ⊂ ℝ n +1 since ∥N(p)∥ = 1 for all p ∈ S.
openaire +1 more source
1996
The classical Gauss map is important in the minimal surface theory of 3-dimensional Euclidean space. For general submanifolds in Euclidean space we can define a generalized Gauss map. In many cases properties of submanifolds are characterized by their Gauss maps and closely link with the theory of harmonic maps.
openaire +1 more source
The classical Gauss map is important in the minimal surface theory of 3-dimensional Euclidean space. For general submanifolds in Euclidean space we can define a generalized Gauss map. In many cases properties of submanifolds are characterized by their Gauss maps and closely link with the theory of harmonic maps.
openaire +1 more source
Continued fractions and the Gauss map
2005Summary: We discover properties of the Gauss map and its iterates using continued fractions. In particular, we find all fixed points and show that the graph of an iterate over \([0,1/2]\) is symmetric to the graph of the next higher iterate over \([1/2,1]\).
Bates, Bruce +2 more
openaire +1 more source
The Harmonicity of the Spherical Gauss Map
Bulletin of the London Mathematical Society, 1986Given an isometric immersion \(f: M^ m\to {\mathbb{R}}^ n\), its generalized Gauss map g in the sense of Chern and Osserman is the map \(g: M\to G_ m({\mathbb{R}}^ n)\), assigning to each point p in M the tangent space at p of M viewed as an m-dimensional plane in \({\mathbb{R}}^ n\). An easy yet vitally important theorem of \textit{E. A.
openaire +2 more sources
Surface Reconstruction from Point Clouds without Normals by Parametrizing the Gauss Formula
ACM Transactions on Graphics, 2023Siyou Lin, Dong Xiao, Zuoqiang Shi
exaly
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2022
Wajiha Javed, Ali Övgün
exaly
Wajiha Javed, Ali Övgün
exaly