6533b870fe1ef96bd12cfaf5

RESEARCH PRODUCT

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

Bernard BonnardLionel JassionnesseOlivier Cots

subject

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]Code (set theory)Spin dynamicsGeometryspin dynamics01 natural sciencesoptimal controlsymbols.namesakeGaussian curvature0101 mathematicsGeneral ellipsoidMathematics010102 general mathematics[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]Optimal controlUmbilical pointEllipsoidOptimal controlCalcul parallèle distribué et partagé010101 applied mathematicsSpindynaicssymbolsgeneral ellipsoidGravitational singularity[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]Conjugate and cut lociConjugate

description

International audience; 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.

yearjournalcountryeditionlanguage
2014-01-01
https://doi.org/10.1007/978-3-319-02132-4_4