Results 141 to 150 of about 4,579 (296)

Area and Gauss–Bonnet inequalities with scalar curvature

Commentarii Mathematici Helvetici
The Gauss–Bonnet theorem states for any compact surface (S,g) that the quantity Q^{S}_{GB}(S)=\int_{S} \operatorname{Sc}(S,s)\,\mathrm{d}s+\int_{\partial S}\mathrm{mean.
Gromov, Misha, Zhu, Jintian
openaire   +3 more sources

Mixed Super‐Circles

Computer Graphics Forum, EarlyView.
Abstract We introduce mixed super‐circles, a position‐curvature formulation of the original dynamic 2D super‐helix model. Compared to the latter, purely curvature‐based model – the so‐called chained formulation –, the mixed formulation that we propose here drastically reduces the algorithmic complexity of the solving scheme – from quadratic to quasi ...
Emile Hohnadel, Thibaut Métivet, Florence Bertails‐Descoubes   +2 more
wiley   +1 more source

Complete minimal hypersurfaces in the hyperbolic space H-4 with vanishing Gauss-Kronecker curvature

, 2007
We investigate 3-dimensional complete minimal hypersurfaces in the hyperbolic space H-4 with Gauss-Kronecker curvature identically zero. More precisely, we give a classification of complete minimal hypersurfaces with Gauss-Kronecker curvature identically
Savas-Halilaj, A., Hasanis, T., Vlachos, T.   +2 more
core  

Parallel Vectors Extraction using Bézier Clipping

Computer Graphics Forum, EarlyView.
Abstract In this paper, we propose a novel local feature extraction algorithm for the parallel vectors (PV) operator. Our method is based on Bézier clipping, which is a bracketing‐based root finding method that is commonly‐used in computer‐aided geometric design.
Nico Daßler, Tobias Günther
wiley   +1 more source

Neutral surfaces in neutral four-spaces

Le Matematiche, 1990
Properties of the Gauss map of neutral surfaces are studied. Special attention is given to surfaces of parallel, or zero, mean curvature. Bilagrangian structures are defined and used in ways analogous to the use of complex structures in the Riemannian ...
Gary Jensen, Marco Rigoli
doaj  

$\alpha$-Gauss Curvature flows

, 2013
In this paper, we study the deformation of the n-dimensional strictly convex hypersurface in $\mathbb R^{n+1}$ whose speed at a point on the hypersurface is proportional to $\alpha$-power of positive part of Gauss Curvature. For $\frac{1}{n}
Kim, Lami, Lee, Ki-ahm
openaire   +1 more source

Discrete curvature and the Gauss-Bonnet theorem

For matrix analogues of embedded surfaces we define discrete curvatures and Euler characteristics, and a non-commutative Gauss--Bonnet theorem is shown to follow.
Hoppe, J., Huisken, G., Arnlind, J.
core  

Curvature of the Gauss map for normally flat submanifolds in space forms

, 2022
For a submanifold with flat normal bundle in a space form there is a normal orthonormal basis that simultaneously diagonalizes the corresponding Weingarten operators, and at which these operators satisfy a simple Codazzi symmetry.
Álvarez-Vizoso, Javier
core  

Discharge‐Targeted Hydraulic Tomography to Quantify and Locate Aquifer Discharge

Groundwater, EarlyView.
Abstract Quantifying and localizing groundwater discharge is inherently difficult. It requires knowledge about hydraulic conductivity and the hydraulic gradient on the scale of interest. Conventional hydraulic testing, such as pumping tests, may fail in the presence of heterogeneity and complex structural boundaries.
Konstantin Drach, Carsten Leven, Olaf A. Cirpka   +2 more
wiley   +1 more source

Global singularity theory for the Gauss curvature equation

Ensaios Matemáticos, 2015
Substantial revision. Changed title.
openaire   +2 more sources