BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Slicing of Riemannian 2-surfaces by short curves Liokumovich, Yevgeny


Consider Riemannian 2-sphere M of area A and diameter d. We prove that there exists a slicing of M by loops of length ≤ 200d max{1, log(A/d2 )}. We construct examples showing that this bound is optimal up to a constant factor. This is a joint work with A. Nabutovsky and R. Rotman. Related questions about sweep-outs and slicings of surfaces will also be discussed.

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