Homotopy properties of horizontal loop spaces and applications to closed sub-riemannian geodesics
Given a manifold $M$ and a proper sub-bundle $\Delta\subset TM$, we study homotopy properties of the horizontal base-point free loop space $\Lambda$, i.e. the space of absolutely continuous maps $\gamma:S^1\to M$ whose velocities are constrained to $\Delta$ (for example: legendrian knots in a contac...
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| Format: | Journal article |
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American Mathematical Society
2019
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