Shortest closed curve to inspect a sphere

Mohammad Ghomi (Georgia Institute of Technology)

26-Oct-2021, 13:30-14:30 (4 years ago)

Abstract: We show that in Euclidean 3-space any closed curve which lies outside the unit sphere and contains the sphere within its convex hull has length at least 4Pi. Equality holds only when the curve is composed of 4 semicircles of length Pi, arranged in the shape of a baseball seam, as conjectured by V. A. Zalgaller in 1996. This is joint work with James Wenk.

differential geometry

Audience: researchers in the topic


Pangolin seminar

Series comments: TIME HAS CHANGED: 15:30 Paris 10:30AM Rio de Janeiro

Description: Differential geometry seminar

Zoom link posted on the webpage 15 minutes before each lecture: https://sites.google.com/view/pangolin-seminar/home

Organizers: Sébastien Alvarez, François Fillastre*, Andrea Seppi, Graham Smith
*contact for this listing

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