The geodesic complexity of \(n\)-dimensional Klein bottles

zbMath1461.53028arXiv1912.07411MaRDI QIDQ1998989

David Recio-Mitter, Donald M. Davis

Publication date: 10 March 2021

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07411

zbMATH Keywords

geodesicpolytopeKlein bottletopological complexity

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Geodesics in global differential geometry (53C22) Artificial intelligence for robotics (68T40)

Related Items (5)

Geodesics in the configuration spaces of two points in \(\mathbb{R}^n\) ⋮ Two robots moving geodesically on a tree ⋮ Different types of topological complexity based on higher homotopic distance ⋮ Geodesic complexity of homogeneous Riemannian manifolds ⋮ Geodesic complexity of motion planning

Cites Work

• Invitation to topological robotics
• Topological complexity of motion planning
• Topological complexity of the Klein bottle
• A short proof for \(\mathrm{tc}(K)=4\)
• An n-dimensional Klein bottle

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