New constructions of volume-critical submanifolds of the sphere
Topic
Constant mean curvature hypersurfaces in S^n are critical points of the
(n-1)-volume functional subject to an enclosed-volume constraint
whereas contact-stationary Legendrian (CSL) submanifolds of S^{2n+1}
are n-dimensional submanifolds tangent to the contact distribution
whose n-volume is critical amongst all Legendrian competitors. I will
present new constructions of CMC and CSL submanifolds in spheres using
gluing techniques and a good understanding of the isometries of the
ambient sphere. I will also highlight some similarities between the
world of CSL submanifolds and the world of CMC hypersurfaces.
Speakers
This is a Past Event
Event Type
Scientific, Seminar
Date
December 5, 2006
Time
-
Location