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On the injectivity and nonfocal domains of the ellipsoid of revolution

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

Abstract

In relation with regularity properties of the transport map in optimal transportation on Riemannian manifolds, convexity of injectivity and nonfocal domains is investigated on the ellipsoid of revolution. Building upon previous results [4, 5], both the oblate and prolate cases are addressed. Preliminary numerical estimates are given in the prolate situation.

Keywords

Elliptic Curve Conjugate Point Geodesic Flow Round Sphere Prolate Ellipsoid 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Math. InstituteUniv. Bourgogne & CNRSDijonFrance
  2. 2.ENSEEIHT-IRITUniv. Toulouse & CNRSToulouseFrance

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