Some examples of self-similar solutions and translating solitons for mean curvature flow
Hiroshi Nakahara
TL;DR
This paper constructs new self-similar solutions and translating solitons for Lagrangian mean curvature flow, expanding the known examples to include cases with arbitrarily small Lagrangian angles, using an extended method.
Contribution
It introduces a novel extension of Joyce, Lee, and Tsui's method to generate additional examples of solutions with small Lagrangian angles.
Findings
New examples of solutions with small Lagrangian angles
Extension of existing methods for constructing solutions
Broader class of solutions for Lagrangian mean curvature flow
Abstract
We construct new examples of self-similar solutions and translating solitons for Lagrangian mean curvature flow by extending the method of Joyce, Lee and Tsui. Those examples include examples in which the Lagrangian angle is arbitrarily small as the examples of Joyce, Lee and Tsui.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research