Reflections on hyperbolic space

Instantáneas de la actualidad matemática desde Oberwolfach

Reflections on hyperbolic space

In school, we learn that the interior angles of any triangle sum up to π. However, there exist spaces different from the usual Euclidean space in which this is not true. One of these spaces is the “hyperbolic space”, which has another geometry than the classical Euclidean geometry. In this snapshot, we consider the geometry of hyperbolic polytopes, for example polygons, how they tile hyperbolic space, and how reflections along the faces of polytopes give rise to important mathematical structures. The classification of these structures is an open area of research.

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Área matemática

Álgebra y Teoría de números
Geometría y Topología

Relaciones con otros campos

Ciencias de la vida

Autor(es)

Anna Haensch

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2021-007-EN

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snapshot-2021-007.pdf

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