Results 251 to 260 of about 510,591 (285)

Metric geometry of the Kobayashi metric

European Journal of Mathematics, 2017
This is a survey article presenting some results related to the Kobayashi metric for domains in \(\mathbb C^n\). Among others, the authors discuss estimates of the Kobayashi metric near the boundary, extensions of the biholomorphic mappings to boundaries, convexity and complex geodesics, isometries of the Kobayashi metric, and Gromov hyperbolicity.
Gaussier, Hervé, Seshadri, Harish
exaly   +3 more sources

Metrics and Geometry

2020
In this chapter we shall consider some geometric issues related to the hyperbolic or quasihyperbolic metric. We begin with several comparison results for the quasihyperbolic metric. Here an important fact is that various metrics may be comparable in some but not in all domains.
Parisa Hariri, Riku Klén, Matti Vuorinen   +2 more
openaire   +1 more source

Metric bases in digital geometry

Computer Vision, Graphics, and Image Processing, 1984
The authors consider the set D of all points in the Euclidean plane with integral coordinates (digital plane). Given a metric d on \(A\subset D\), a subset \(S\subset A\) is called a metric basis for A if \(d(x,s)=d(y,s)\) for all \(s\in S\) implies \(x=y.\) It is well known that a minimal metric basis for the Euclidean plane with respect to the ...
Robert A. Melter, Ioan Tomescu
openaire   +1 more source

Orthogonal geometry, metric geometry and ordinary geometry

1994
In Desarguesian (plane) geometry which takes Hilbert’s axioms of incidence H I, (sharper) axiom of parallels HIV, the axiom of infinity D∞ and Desargues’ axioms D as its basis, one can uniquely determine a Desarguesian number system N, called a geometry-associated Desarguesian number system, as has been exhibited in the previous sections.
openaire   +1 more source

The Axioms of Non-Metrical Geometry

The Mathematical Gazette, 1963
As Geometry was developed in recent centuries, it became realised that some of the more interesting results were not metrical in nature, and that even some of the metrical theorems were immediately derivable from more general non-metrical ones. For example, mid-point theorems were often derivable from harmonic theory, and confocal conics from general ...
openaire   +2 more sources

Geometry on Metric Manifolds

2015
The metric is an important tensorial object that introduces more structure into a (differential) manifold. The metric coefficients allow for example to determine the length of parameter curves in the manifold and make it possible to relate corresponding co- and contravariant objects defined on the manifold.
openaire   +1 more source

Design of 3D Metric Geometry Study and Research Activities within a BIM Framework

Mathematics, 2022
Eduardo J Renard-Julián, M Socorro García-Cascales   +1 more
exaly  

Geometry of Cuts and Metrics

1997
Michel Marie Deza, Monique Laurent
openaire   +1 more source

Mahalanobis Based Point to Distribution Metric for Point Cloud Geometry Quality Evaluation

IEEE Signal Processing Letters, 2020
Alireza Javaheri, Catarina Brites, Fernando Pereira   +2 more
exaly  

Limit operators techniques on general metric measure spaces of bounded geometry

Journal of Mathematical Analysis and Applications, 2020
Raffael Hagger, Christian Seifert
exaly