Closed geodesics on surfaces

Oberwolfach'tan

Closed geodesics on surfaces

We consider surfaces of three types: the sphere, the torus, and many-holed tori. These surfaces naturally admit geometries of positive, zero, and negative cur- vature, respectively. It is interesting to study straight line paths, known as geodesics, in these geometries. We discuss the issue of counting closed geodesics; this is particularly rich for hyperbolic (negatively curved) surfaces.

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Matematiksel konular

Geometri ve Topoloji

Diğer alanlarla ilişkiler

Fizik

Yazar(lar)

Benjamin Dozier

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2022-013-EN

PDF indir

snapshot-2022-013.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

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Matematik Üzerine Düşünceler

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