| Abstract: |
| The classical result of Eisenhart states that if a Riemannian metric g admits a Riemannian metric that is not constantly proportional to $g$ and has the same (parameterized) geodesics as $g$ in a neighborhood of a given point, then $g$ is a direct product of two Riemannian metrics in this neighborhood. The talk is devoted to describing the extension of this result to sub-Riemannian metrics on a class of step 2 distributions. |
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