Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces

  • Bernard Bonnard
  • Olivier Cots
  • Lionel Jassionnesse
Part of the Springer INdAM Series book series (SINDAMS, volume 5)


We combine geometric and numerical techniques - the Hampath code - to compute conjugate and cut loci on Riemannian surfaces using three test bed examples: ellipsoids of revolution, general ellipsoids, and metrics with singularities on S2 associated to spin dynamics.


Return Mapping Gauss Curvature Jacobi Equation Conjugate Point Umbilical Point 
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Bernard Bonnard
    • 1
  • Olivier Cots
    • 2
  • Lionel Jassionnesse
    • 1
  1. 1.Institut de Mathématiques de BourgogneDijonFrance
  2. 2.INRIASophia AntipolisFrance

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