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第12回 2019/12/05 10:31
2019年度の談話会 2019/12/05 10:29





seminar:2010:003

第03回

  • 講演者:李 成博 氏(北京大学国際数学研究センター)
    • 題目:Parameterized Curves in Lagrange Grassmannians and sub-Riemannian geometry
    • 日時:平成22年6月23日(水)16:30〜17:30

We construct the curvature-type differential invariants for a wide class of geometric structures and controlsystems on manifolds, especially for sub-Riemannian structures on nonholonomic vector distributions. We then can calculate the curvature maps for a class of sub-Riemannian structures on distributions having additional transversal infinitesimal symmetry and investigate the comparison theorems for the number of conjugate points along the sub-Riemannian extremals. Finally, we review the construction of the curvature maps for three dimensional contact sub-Riemannian case and give a new proof which could possibly to be applied to the higher dimensions. T he talk is mainly based on the joint works with Igor Zelenko.

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seminar/2010/003.txt · 最終更新: 2017/11/17 10:36 (外部編集)