Some minimal submanifolds generalizing the Clifford torus

Some minimal submanifolds generalizing the Clifford torus -Jaigyoung Choe

Jaigyoung Choe
KIAS
November 5, 2018

Abstract: The Clifford torus is the simplest nontotally geodesic minimal surface in S^3. It is a product surface, it is helicoidal, and it is a solution obtained by separation of variables. We will show that there are more minimal submanifolds with these properties inĀ  S^n and in R^4.