We prove some non-existence theorems for translating solutions to Lagrangian mean curvature flow. More precisely, we show that translating solutions with an L2 bound on the mean curvature are planes and that almostcalibrated translating solutions which are static are also planes. Recent work of D. Joyce, Y.-I. Lee, and M.-P. Tsui shows that these conditions are optimal.
All Science Journal Classification (ASJC) codes
- Applied Mathematics