Geodesic complexity via fibered decompositions of cut loci

DOI10.1007/s41468-022-00107-4zbMath1526.55004arXiv2206.07691OpenAlexW4309926427MaRDI QIDQ6074051

Stephan Mescher, Maximilian Stegemeyer

Publication date: 18 September 2023

Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.07691

zbMATH Keywords

cut locusmotion planningtopological complexitygeodesic 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)

Cites Work

• Higher topological complexity and its symmetrization
• Invitation to topological robotics
• On cut loci of compact symmetric spaces
• On the structure of cut loci in compact Riemannian symmetric spaces
• Topological complexity of motion planning
• Topological complexity and efficiency of motion planning algorithms
• Cut loci in Riemannian manifolds
• Geodesic complexity of motion planning
• A note on covers defining relative and sectional categories
• Cut loci in lens manifolds
• Robot motion planning, weights of cohomology classes, and cohomology operations
• Introduction to Riemannian Manifolds
• Aspects of Differential Geometry II
• The genus of a fiber space
• Geodesic complexity of homogeneous Riemannian manifolds
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