![[Back]](/images/prevpage.gif)
![[Index]](/images/index.gif)
![[Help]](/images/help.gif)
![[MSI]](/images/msi.gif)
![[ANU Online]](/images/online.gif)
Research Report MRR99-023
Volume-preserving anisotropic
mean curvature flow
Ben Andrews
Abstract:
This paper concerns convex hypersurfaces in Euclidean
space evolving by anisotropic analogues of the volume-preserving
mean curvature flow. The main result is that such hypersurfaces
stay smooth and convex for all time, and converge to a limit
determined by the anisotropy (the Wulff shape). The paper gives
an introduction to Minkowski differential geometry, including
analogues of metric, normal vector, and curvature; variation
formulae; and mixed volumes and geometric inequalities.
This service is maintained by the
Mathematical Sciences Institute (MSI)
Comments to
webmaster@maths.anu.edu.au
URL: http://wwwmaths.anu.edu.au/