Closed geodesics on surfaces and Riemannian manifolds

Radeschi, Marco

doi:10.34657/8919

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Closed geodesics on surfaces and Riemannian manifolds

Radeschi, Marco

Year: 2017 Journal: TIB Repositorium

DOI: 10.34657/8919

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Abstract

Geodesics are special paths in surfaces and so-called Riemannian manifolds which connect close points in the shortest way. Closed geodesics are geodesics which go back to where they started. In this snapshot we talk about these special paths, and the efforts to find closed geodesics.

Keywords:

Geodesic Geodesic map Riemannian manifold Riemannian geometry Differential geometry

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Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Geometric and Algebraic Topology

Physical Sciences → Mathematics → Geometry and Topology

Morphological variations and asymmetry

Physical Sciences → Mathematics → Geometry and Topology

Closed geodesics on surfaces and Riemannian manifolds

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