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Metric Characteristics of Hyperbolic Polygons and Polyhedra
Journal of Mathematical Sciences, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kostina, E. A., Kostina, N. N.
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2019
The natural setup for our work here is a metric space (G, mG) where G is a subdomain of \(\mathbb {R}^n\,, n\ge 2\). For our studies, the distance mG(x, y), x, y ∈ G is required to take into account both how close the points x, y are to each other and the position of the points relative to the boundary ∂G.
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The natural setup for our work here is a metric space (G, mG) where G is a subdomain of \(\mathbb {R}^n\,, n\ge 2\). For our studies, the distance mG(x, y), x, y ∈ G is required to take into account both how close the points x, y are to each other and the position of the points relative to the boundary ∂G.
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Metrics of Hyperbolic Type on Bounded Fractals
Potential Analysis, 2006The author studies the three different metrics of hyperbolic type on bounded fractals with Dirichlet boundary condition. All these metrics are closely related to each other and can be used to derive Harnack inequalities, estimate Green's functions and to study the local behaviour and energy of harmonic functions.
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The Nikolov–Andreev Metric and Gromov Hyperbolicity
Mediterranean Journal of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Qianghua +3 more
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The hyperbolic metric in a rectangle II
2003Let \(S\) be the infinite strip \(S=\{ x+iy : | y|
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Some Fixed-Point Results for the KF-Iteration Process in Hyperbolic Metric Spaces
Symmetry, 2023Aynur Şahin +2 more
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Approximation of Endpoints for α—Reich–Suzuki Nonexpansive Mappings in Hyperbolic Metric Spaces
Mathematics, 2021Izhar Uddin
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The hyperbolic metric of a rectangle
2001The upper half-space \(H\) supports the hyperbolic metric \(\lambda_H (z) |dz|\), where \(\lambda_H (z) =1/Im z\), and if \(f\) is any conformal map of \(H\) onto a domain \(D\), then the hyperbolic metric on \(D\) is \(\lambda_D (z) |dz|\), where \(\lambda_D (f(z)) |f'(z)|=\lambda_H (z)\).
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