UC Santa Cruz
Stability of the surface area preserving mean curvature flow in Euclidean space
- Author(s): Huang, Z
- Lin, L
- et al.
Published Web Locationhttps://doi.org/10.1007/s00022-015-0260-8
© 2015, Springer Basel AG. The surface area preserving mean curvature flow is a mean curvaturetype flow with a global forcing term to keep the hypersurface areafixed. By iteration techniques, we show that the surface area preservingmean curvature flow in Euclidean space exists for all time and convergesexponentially to a round sphere, if initially the L2-norm of the traceless second fundamental form is small (but the initial hypersurface is notnecessarily convex).