About Ricci curvature in the sub Riemannian Heisenberg group

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About Ricci curvature in the sub-Riemannian Heisenberg group About Ricci curvature in the sub-Riemannian Heisenberg group Nicolas JUILLET Université de Strasbourg Maynooth, March 2010 Nicolas JUILLET About Ricci curvature in the sub-Riemannian Heisenberg group

  • big entropy

  • optimal transport

  • curvature-dimension cd

  • space

  • heisenberg group

  • geodesic space

  • interpolation map


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Maynooth, March 2010
Université de Strasbourg
Nicolas JUILLET
About Ricci curvature in the sub-Riemannian Heisenberg group
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Outline
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The contraction estimate and two results
3
1
Optimal transport and geodesic interpolation
The first Heisenberg group
2