Geodesics in the configuration spaces of two points in \(\mathbb{R}^n\)

DOI10.32513/TMJ/19322008112zbMath1494.53047arXiv2001.00850OpenAlexW3151804603MaRDI QIDQ2143720

Donald M. Davis

Publication date: 31 May 2022

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.00850

zbMATH Keywords

configuration spacegeodesictopological robotics

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) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Artificial intelligence for robotics (68T40) Applications of differential geometry to data and computer science (53Z50)

Related Items (3)

Two robots moving geodesically on a tree ⋮ Geodesic complexity of homogeneous Riemannian manifolds ⋮ Geodesic complexity for non-geodesic spaces

Cites Work

• Unnamed Item
• Topological complexity of motion planning
• The geodesic complexity of \(n\)-dimensional Klein bottles
• Geodesic complexity of motion planning
• Distance geometry in Riemannian manifolds-with-boundary

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