Reflections on hyperbolic space

Oberwolfach'tan

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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Matematiksel konular

Cebir ve Sayılar Kuramı
Geometri ve Topoloji

Diğer alanlarla ilişkiler

Yaşam Bilimleri

Yazar(lar)

Anna Haensch

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2021-007-EN

PDF indir

snapshot-2021-007.pdf

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Matematiksel konular

Cebir ve Sayılar Kuramı
Analiz
Eğitim ve Eğitim Bilimi
Ayrık Matematik ve Matematiğin Temelleri
Geometri ve Topoloji
Nümerik ve Hesap Analizi
Olasılık Kuramı ve İstatistik

Diğer alanlarla ilişkiler

Kimya ve Yer Bilimler
Bilgisayar Bilimeri
Mühendislik ve Teknoloji
Finans
Beşeri ve Sosyal Bilimler
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Fizik
Matematik Üzerine Düşünceler

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