# Modified mean curvature flow of star-shaped hypersurfaces in hyperbolic space

@inproceedings{Lin2012ModifiedMC, title={Modified mean curvature flow of star-shaped hypersurfaces in hyperbolic space}, author={Longzhi Lin and Ling Xiao}, year={2012} }

Modified mean curvature flow of star-shaped hypersurfaces in hyperbolic space Longzhi Lin Ling Xiao Abstract We define a new modified mean curvature flow (MMCF) in hyperbolic space H n+1 , which interestingly turns out to be the natural negative L 2 -gradient flow of the energy functional intro- duced by De Silva and Spruck in [DS09]. We show the existence, uniqueness and convergence of the MMCF of complete embedded star-shaped hypersurfaces with prescribed asymptotic boundary at infinity. The… CONTINUE READING