TY - ELEC
AU - Liokumovich, Yevgeny
PY - 2013
TI - Slicing of Riemannian 2-surfaces by short curves
LA - eng
M3 - Moving Image
AB - 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.
N2 - 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.
UR - https://open.library.ubc.ca/collections/48630/items/1.0043473
ER - End of Reference