Proves that any E3 Legendrian in the boundary of a Liouville domain bounds a chord of length at most liminf c_k(Ω)/k and applies this to establish the strong Arnol'd chord conjecture for uniformly convex domains in R^4.
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The strong Arnol'd chord conjecture for the boundary of a uniformly convex domain in $\mathbb{R}^{4}$
Proves that any E3 Legendrian in the boundary of a Liouville domain bounds a chord of length at most liminf c_k(Ω)/k and applies this to establish the strong Arnol'd chord conjecture for uniformly convex domains in R^4.