UM Math Graduate Students Seminar

Andrew Sanchez
University of Miami

will present

Curvature, Areas and Volumes

Friday, March 29, 2013, 3:45pm
Ungar Building Room 402

Abstract:You have a goat on a 1 meter leash that you are setting out to graze. If you tie him up on a flat grassland, he will eat the right amount, if you tie him up at the top of a hill, he will starve, and if you tie him up in the middle of a valley, he will get fat. Why? We will first work out the details of surface area on 'hills', 'valleys', and 'grasslands', and then investigate the underlying geometric properties of these surfaces. Then we will generalize these notions to manifolds of arbitrary dimension, and discuss some results involving volume.

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