Results 51 to 57 of about 134 (57)
Minimizing Movements for the Generalized Power Mean Curvature Flow. [PDF]
Milan J MathBellettini G, Kholmatov SY.
europepmc +1 more source
Local Well-Posedness of the Skew Mean Curvature Flow for Small Data in d≧2 Dimensions. [PDF]
Arch Ration Mech AnalHuang J, Tataru D.
europepmc +1 more source
A Note on Ricci-pinched three-manifolds
Let $(M, g)$ be a complete, connected, non-compact Riemannian $3$-manifold. Suppose that $(M,g)$ satisfies the Ricci--pinching condition $\mathrm{Ric}\geq\varepsilon\mathrm{R} g$ for some $\varepsilon>0$, where $\mathrm{Ric}$ and $\mathrm{R}$ are the ...
Benatti, Luca +3 more
core
Hypersurfaces with capillary boundary evolving by volume preserving power mean curvature flow
In this paper, we introduce a volume- or area-preserving curvature flow for hypersurfaces with capillary boundary in the half-space, with speed given by a positive power of the mean curvature with a non-local averaging term.
Sinestrari, Carlo, Weng, Liangjun
core
Geometric inequalities and their stabilities for modified quermassintegrals in hyperbolic space
In this paper, we first consider the curve case of Hu-Li-Wei's flow for shifted principal curvatures of h-convex hypersurfaces in $\mathbb{H}^{n+1}$ proposed in [10].
Gao, Chaoqun, Zhou, Rong
core
Solitons to Mean Curvature Flow in the hyperbolic 3-space
We consider {translators} (i.e., initial condition of translating solitons) to mean curvature flow (MCF) in the hyperbolic $3$-space $\mathbb H^3$, providing existence and classification results. More specifically, we show the existence and uniqueness of
de Lima, R. F. +2 more
core
Stability of the generalized Lagrangian mean curvature flow in cotangent bundle
In this paper, we consider the stability of the generalized Lagrangian mean curvature flow of graph case in the cotangent bundle, which is first defined by Smoczyk-Tsui-Wang. By new estimates of derivatives along the flow, we weaken the initial condition
Jin, Xishen, Liu, Jiawei
core