Research profile
Works on Lagrangian mean curvature flow, self-shrinkers & translators and Kähler–Ricci flow.
NP-RC-8803140000-0003-2557-0387
Elsewhere ORCIDarXiv listing
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How many of these papers carry each topic, among the topics most particular to them. Tags are assigned automatically, so they point to a subject rather than judge the work.
FlowsSpecial solutionsGeometry & analysis
| Topic | 2016 | 2019 |
|---|---|---|
| All papers | 3 | 1 |
| Lagrangian mean curvature flow | 2 | 1 |
| Self-shrinkers & translators | 3 | 1 |
| Kähler–Ricci flow | 3 | |
| Kähler geometry | 3 | |
| Stability & uniqueness | 3 | |
| Mean curvature flow | 2 | 1 |
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We show Bernstein type results for the entire self-shrinking solutions to Lagrangian mean curvature flow in . The proofs rely on a priori estimates and barriers construction.
We prove that all entire smooth strictly convex self-shrinking solutions on to the Hessian quotient flows must be quadratic. This generalizes the rigidity theorem for entire self-shrinking solutions to the Lagrangian mean curvature flow in pseudo-Euclidean space due to Ding-Xin. Moreover, we show that our argument works for a larger class of equations. In particular, we obtain rigidity results for entire self-shrinking solutions on to the Kähler-Ricci flow under certain conditions.
We prove that every entire self-shrinking solution on to the Kähler-Ricci flow with strictly real convex potential must be quadratic. The very same argument also gives a pointwise proof for the rigidity of entire self-shrinking solutions to Lagrangian mean curvature flow in pseudo-Euclidean space obtained by Q. Ding and Y.L. Xin. Furthermore, we show that our argument works for a larger class of equations.
We show that every entire self-shrinking solution on to the Kähler-Ricci flow must be generated from a quadratic potential.
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NP-RC-880314 is Wenlong Wang's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.
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