Oriented robot motion planning in Riemannian manifolds

DOI10.1016/j.topol.2019.02.047zbMath1412.55004arXiv1810.06281OpenAlexW2897186021WikidataQ115340784 ScholiaQ115340784MaRDI QIDQ1737981

Stephan Mescher

Publication date: 24 April 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.06281

zbMATH Keywords

topological complexitytopological roboticsframe bundlesrobot motion planning

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30)

Cites Work

• Topological complexity, fibrations and symmetry
• Invitation to topological robotics
• Robot motion planning with uncertainty in control and sensing
• Topological complexity of motion planning
• An explicit formula for the cup-length of the rotation group
• An upper bound for topological complexity
• Lusternik--Schnirelmann category of non-simply connected compact simple Lie groups
• Instabilities of robot motion
• On cup products in some manifolds
• Bredon cohomology and robot motion planning
• Mod two homology and cohomology
• On Lusternik–Schnirelmann category of ${\bf SO}(10)$
• Fixed point free involutions and equivariant maps
• CONFIGURATION SPACES AND ROBOT MOTION PLANNING ALGORITHMS
• The genus of a fiber space
• Combinatorial algebraic topology
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Oriented robot motion planning in Riemannian manifolds