Rigidity of symplectic translating solitons
Hongbing Qiu
TL;DR
This paper proves a rigidity property of symplectic translating solitons using the complex phase map, removing the need for the bounded second fundamental form assumption in previous results.
Contribution
It introduces a new rigidity result for symplectic translating solitons that eliminates the bounded second fundamental form condition.
Findings
Rigidity of symplectic translating solitons established.
Bounded second fundamental form assumption is unnecessary.
Enhanced understanding of symplectic translating solitons' geometric properties.
Abstract
We obtain a rigidity result of symplectic translating solitons via the complex phase map. It indicates that we can remove the bounded second fundamental form assumption for symplectic translating solitons in [13].
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Quantum chaos and dynamical systems