Posted by: Janine | September 8, 2011

Differential Geometry

Singularly round
somewhere spherical, elsewhere
principally free

Steven Broad

Saint Mary’s College, Notre Dame, IN

My work on differential geometry and dynamical systems, specifically geometric singularities, studies the ways that spheres can be deformed and certain points called umbilics (and higher-order generalizations thereof) that arise in isolated (sometimes unpredictable) locations on the deformed surface.
Umbilics are called locally spherical because they are locations where the original spherical shape is more or less preserved.



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