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math.DG2017
Asymptotic expansions of holonomy
Erlend Grong, Pierre Pansu
Given a principal bundle with a connection, we look for an asymptotic expansion of the holonomy of a loop in terms of its length. This length is defined relative to some Riemannian…
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…