Mixed volume preserving curvature flows

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Volume-preserving flow by powers of the mth mean curvature (2009, methodology): “For the class of speeds we consider, we cannot follow the procedure of [30]; instead, we apply the maximum principle to the quotient K/Hn, after a careful estimation of the gradient terms in the equation.”
Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space (2013, methodology): “1), we can derive the higher order estimates exactly as in [31], Section 8.”
On a non-local perimeter-preserving curve evolution problem for convex plane curves (2008, background): “It is very important and interesting to study evolution problems which preservesomegeometricquantitiessuchasthearea-preservingflow[9],thevolumepreserving flow [2,14, 19 ] and the surface area preserving flow [18].”
Rigidity results, inverse curvature flows and Alexandrov-Fenchel type inequalities in the sphere (2013, unknown): “Recently, one of the authors transferred the results about mixed-volume preserving curvature flows in Euclidean space from [23] to the hyperbolic space in [22].”