Representation of curves of constant width in the hyperbolic plane.
Araújo, P.V. (1998)
Portugaliae Mathematica
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Araújo, P.V. (1998)
Portugaliae Mathematica
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Adegoke, Kunle, Layeni, Olawanle (2010)
Applied Mathematics E-Notes [electronic only]
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Wilker, J.B. (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Sasha Anan’in, Carlos Grossi (2012)
Open Mathematics
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Using the Plücker map between grassmannians, we study basic aspects of classic grassmannian geometries. For ‘hyperbolic’ grassmannian geometries, we prove some facts (for instance, that the Plücker map is a minimal isometric embedding) that were previously known in the ‘elliptic’ case.
Beardon, Alan F. (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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Grosjean, Carl C. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Georgiev, Svetlin, Georgieva, Penka Vasileva (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Viktor Harangi (2011)
Open Mathematics
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We say that a set in a Euclidean space does not contain an angle α if the angle determined by any three points of the set is not equal to α. The goal of this paper is to construct compact sets of large Hausdorff dimension that do not contain a given angle α ∈ (0,π). We will construct such sets in ℝn of Hausdorff dimension c(α)n with a positive c(α) depending only on α provided that α is different from π/3, π/2 and 2π/3. This improves on an earlier construction (due to several authors)...
D'Azevedo Breda, A.M., Ribeiro, Patrícia S., Santos, Altino F. (2008)
The Electronic Journal of Combinatorics [electronic only]
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Laohakosol, Vichian, Tangsupphathawat, Pinthira, Dangskul, Supreedee (2010)
Applied Mathematics E-Notes [electronic only]
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De Coster, C., Habets, P. (1996)
Portugaliae Mathematica
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Radić, Mirko (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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