Classification of Ruled Surfaces as Homothetic Self-Similar Solutions of the Inverse Mean Curvature Flow in the Lorentz–Minkowski 3-Space

被引：0
作者：
Gregório Silva
Vanessa Silva
机构：
[1] Universidade Federal de Alagoas,Instituto de Matemática
[2] Instituto Federal de Alagoas,undefined
来源：
Bulletin of the Brazilian Mathematical Society, New Series | 2023年 / 54卷
关键词：
Ruled surface; Inverse mean curvature flow; Lorentz-Minkowski space; Self-expander; Self-shrinker; 53E10; 53C50; 53C42; 53B30;
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学科分类号：
摘要：
In this paper, we classify the nondegenerate ruled surfaces in the three-dimensional Lorentz–Minkowski space that are homothetic self-similar solutions for the inverse mean curvature flow. This classification shows the existence of two classes of non-cylindrical homothetic solitons: one with lightlike rulings and another one with non-lightlike rulings.
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