Geodesic Complexity of Riemannian Manifolds

Geodesic Complexity of Riemannian Manifolds

Applied Algebraic Topology Network via YouTube Direct link

Cut locus of spaces

12 of 18

12 of 18

Cut locus of spaces

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Classroom Contents

Geodesic Complexity of Riemannian Manifolds

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

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