Abstract
In this paper, we obtain the long-time existence and convergence results for a locally constrained mean curvature flow, which is nicely suitable for weighted isoperimetric problem. Using the maximum principle for tensors developed by Andrews, we show the preservation of some pinching condition along the considered flow and as an application we established the weighted isoperimetric inequality for pinched spacelike hypersurface in de Sitter space.
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Ma, K. Weighted isoperimetric problem for spacelike hypersurface in de Sitter space. manuscripta math. 174, 287–301 (2024). https://doi.org/10.1007/s00229-023-01500-8
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DOI: https://doi.org/10.1007/s00229-023-01500-8