Lagrangian angles of family of Lagrangian fibrations under mean curvature flow

Details Lagrangian angles of family of Lagrangian fibrations under mean curvature flow Lagrangian angles of family of Lagrangian fibrations under mean curvature flow

2011-01-06

arxiv.org/abs/1101.1138v2

Mathematics

Differential Geometry

10 pages

Scientific paper

In this paper, we discuss the Lagrangian angles of a family of Lagrangian
fibrations moved under mean curvature flow. In the case $n=1$, the angle
function is shown to satisfy a degenerated partial differential equation. We
prove that any smooth solution to the equation also corresponds to smooth
foliation of curves under mean curvature flow.

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