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

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Book cover Geometric Control Theory and Sub-Riemannian Geometry

Part of the book series: Springer INdAM Series ((SINDAMS,volume 5))

Abstract

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.

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Author information

Authors and Affiliations

  1. Institut de Mathématiques de Bourgogne, 9 avenue Savary, 21078, Dijon, France

    Bernard Bonnard & Lionel Jassionnesse

  2. INRIA, 2004 route des Lucioles, F-06902, Sophia Antipolis, France

    Olivier Cots

Authors
  1. Bernard Bonnard
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  2. Olivier Cots
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  3. Lionel Jassionnesse
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Corresponding author

Correspondence to Olivier Cots .

Editor information

Editors and Affiliations

  1. Dipartimento di Matematica e Informatica “U.Dini”, Università degli Studi di Firenze, Firenze, Italy

    Gianna Stefani  & Andrey Sarychev  & 

  2. CNRS, CMAP, École Polytechnique, INRIA Saclay, Team GECO, Palaiseau, France

    Ugo Boscain

  3. LSIS, Université de Toulon, La Garde Cedex, France

    Jean-Paul Gauthier

  4. INRIA Saclay, Team GECO, CMAP, École Polytechnique, Palaiseau, France

    Mario Sigalotti

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© 2014 Springer International Publishing Switzerland

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Bonnard, B., Cots, O., Jassionnesse, L. (2014). Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces. In: Stefani, G., Boscain, U., Gauthier, JP., Sarychev, A., Sigalotti, M. (eds) Geometric Control Theory and Sub-Riemannian Geometry. Springer INdAM Series, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-02132-4_4

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