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In this paper, we study the Hamiltonian L-stability of Lagrangian translating solitons to the mean curvature flow. We prove that any Lagrangian translating soliton is Hamiltonian L-stable.
In this paper, we mainly study the mean curvature flow in Kähler surfaces with positive holomorphic sectional curvatures. We prove that if the ratio of the maximum and the minimum of the holomorphic sectional curvatures is less than $$2$$ 2 , then there exists a positive constant $$\delta $$ δ depending on the ratio such that $$\cos \alpha \ge \delta $$ cos α ≥ δ is...
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