13 citations · 63 across the 35 of their papers we have counts for
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math.DG2012★ 1 cited
Sub-Riemannian structures corresponding to Kählerian metrics on the universal Teichmueller space and curve
Erlend Grong, Irina Markina, Alexander Vasil'ev
We consider the group of sense-preserving diffeomorphisms $\Diff S^1$ of the unit circle and its central extension, the Virasoro-Bott group, with their respective horizontal distri…
math.DG2012★ 2 cited
Sub-Riemannian geometry on infinite-dimensional manifolds
Erlend Grong, Irina Markina, Alexander Vasil'ev
We generalize the concept of sub-Riemannian geometry to infinite-dimensional manifolds modeled on convenient vector spaces. On a sub-Riemannian manifold , the metric is defined…