2:00 pm Friday, May 14, 2010
Geometry-Analysis: Higher dimensional minimal submanifolds arising from the catenoid and helicoid
by Jaigyoung choe (KIAS) in HB227
For each m-dimensional minimal submanifold N of S^n we con- struct an (m+1)-dimensional complete minimal immersion of N x R into R^{n+2} and (m+1)-dimensional minimal immersions of N x R into R^{2n+3}, H^{2n+3} and S^{2n+3}. Also from the Clifford torus N= S^k(1/\sqrt{2}) x S^k(1/\sqrt{2}) we construct a (2k+2)-dimensional complete minimal helicoid in R^{2k+3}. Host Department: Rice University-Mathematics
Submitted by mwolf@rice.edu |
