Closed geodesics on surfaces

오버불파크에서 찍은 현대수학의 면모

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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수학적 주제

기하학/위상수학

다른 분야와의 연관성

물리학

저자

Benjamin Dozier

라이선스

CC BY-SA-4.0

디지털 객체 식별자(DOI)

10.14760/SNAP-2022-013-EN

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application/pdf

snapshot-2022-013.pdf

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해석학

수학교육/교수법

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물리학

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