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Rigidity of Symplectic Translating Solitons
We obtain a rigidity result of symplectic translating solitons via the complex phase map. It indicates that we can remove the bounded second...
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Bernstein type theorems of translating solitons of the mean curvature flow in higher codimension
By carrying out point-wise estimates for the mean curvature, we prove Bernstein type theorems of complete translating solitons of the mean curvature...
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A Bernstein type result of translating solitons
We prove a Bernstein type theorem for complete translating solitons of the mean curvature flow, whose images of their Gauss maps are contained in an...
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On the gluing construction of translating solitons to Lagrangian mean curvature flow
We construct Lagrangian translating solitons by desingularizing the intersection points between Lagrangian Grim Reaper cylinders with the same phase...
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Translating Solitons Over Cartan–Hadamard Manifolds
We prove existence results for entire graphical translators of the mean curvature flow (the so-called bowl solitons) on Cartan–Hadamard manifolds. We...
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Translating Solitons in a Lorentzian Setting, Submersions and Cohomogeneity One Actions
We study new examples of translating solitons of the mean curvature flow, especially in Minkowski space. We consider for this purpose manifolds...
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Maximum Principles Applied to Translating Solitons of the Mean Curvature Flow in Product Spaces
In this paper we study translating solitons of the mean curvature flow in certain product spaces. Assuming either a certain volume growth of balls or...
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Aspects of Mean Curvature Flow Solitons in Warped Products
In this article, we study mean curvature flow solitons immersed in warped products and we prove some rigidity results for these immersions under...
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Convexity of 2-Convex Translating and Expanding Solitons to the Mean Curvature Flow in \({{\mathbb {R}}}^{n+1}\)
In this paper, inspired by the work of Spruck–**ao (Am J Math 142(3):993–1015, 2020) and based partly on a result of Derdziński (Math Z...
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Notes on Translating Solitons for Mean Curvature Flow
These notes provide an introduction to translating solitons for the mean curvature flow in...
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Four-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature
In this paper, we investigate the geometry of 4-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature (half...
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Spacelike mean curvature flow solitons in standard static spacetimes and new Calabi–Bernstein type results
We investigate solitons of the spacelike mean curvature flow with respect to the timelike Killing vector field of a standard static spacetime. In...