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Homogeneous Riemannian manifolds
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Classroom Contents
Geodesic Complexity of Riemannian Manifolds
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- 1 Introduction
- 2 Robot motion planning and topology
- 3 Topological formulation
- 4 Topological complexity
- 5 Sectional category
- 6 Motion planning
- 7 Geodesic complexity
- 8 Definition of geodesic complexity
- 9 Observations
- 10 Examples
- 11 Technical difficulties
- 12 Cut locus of spaces
- 13 General results
- 14 Homogeneous Riemannian manifolds
- 15 Structure of stratification
- 16 Cutloki
- 17 Lower bound for geodesic complexity
- 18 Questions
