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This article is cited in 2 scientific papers (total in 2 papers)
The space of Schwarz–Klein spherical triangles
Alexandre Eremenko, Andrei Gabrielov Department of Mathematics, Purdue University, West Lafayette, IN 47907 USA
Abstract:
We describe the space of spherical triangles (in the sense of Schwarz and Klein). It is a smooth connected orientable $3$ manifold, homotopy equivalent to the $1$-skeleton of the cubic partition of the closed first octant in $\mathbb{R}^3$. The angles and sides are real analytic functions on this manifold which embed it to $\mathbb{R}^6$.
Key words and phrases:
spherical geometry, triangles.
Received: 14.06.2020
Citation:
Alexandre Eremenko, Andrei Gabrielov, “The space of Schwarz–Klein spherical triangles”, Zh. Mat. Fiz. Anal. Geom., 16:3 (2020), 263–282
Linking options:
https://www.mathnet.ru/eng/jmag757 https://www.mathnet.ru/eng/jmag/v16/i3/p263
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Abstract page: | 106 | Full-text PDF : | 59 | References: | 8 |
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