RIS ID
138764
Abstract
We consider surfaces with boundary satisfying a sixth-order nonlinear elliptic partial differential equation corresponding to extremising the L2-norm of the gradient of the mean curvature. We show that such surfaces with small L2-norm of the second fundamental form and satisfying so-called flat boundary conditions are necessarily planar.
Grant Number
ARC/DP150100375
Grant Number
ARC/DP180100431
Publication Details
McCoy, J. & Wheeler, G. (2019). A rigidity theorem for ideal surfaces with flat boundary. Annals of Global Analysis and Geometry, Online First 1-13.