Claus Gerhardt

activity

20022026

most citedNon-scale-invariant inverse curvature flows in Euclidean space

65 citations · 259 across the 46 of their papers we have counts for

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math.DG2011★ 65 cited

Non-scale-invariant inverse curvature flows in Euclidean space

Claus Gerhardt

We consider the inverse curvature flows $x ˙ = F^{- p} ν$ of closed star-shaped hypersurfaces in Euclidean space in case $0 < p \neq = 1$ and prove that the flow exists for all time and…

math.DG2011

A note on inverse curvature flows in ARW spacetimes

Claus Gerhardt

We prove that the leaves of the rescaled curvature flow considered in arXiv:math/0403485 [math.DG] converge to the graph of a constant function.

math.DG2011

Inverse curvature flows in hyperbolic space

Claus Gerhardt

We consider inverse curvature flows in $\Hh$ with star-shaped initial hypersurfaces and prove that the flows exist for all time, and that the leaves converge to infinity, become st…