2023/05/03 by Romina M. Arroyo, Arroyo, Romina M., Gabriela P. Ovando +5 · 1 citation
Social Sciences · #22E25 #22F30 #53A10 #53C42 #53C44 #Conflict, Peace, and Violence in Colombia #Differential Geometry (math.DG) #FOS: Mathematics #Occupational Health and Global Justice
paper · pdf · doi:10.48550/arxiv.2305.02378
openalex publication_date 2023/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This work is a survey of the most relevant background material to motivate and understand the construction and classification of translating solutions to mean curvature flow on a family of solvmanifolds. We introduce the mean curvature flow and some known results in the field. In particular we explore the notion of translating solution in the Euclidean space and extensions into other Riemannian manifolds. We also include a discussion on solvmanifolds and some elements of its geometry that are relevant to our work. We finish by posing the equations that describe translating solutions to mean curvature flow on our family of 3-dimensional solvmanifolds with some additional assumptions. This project emerged at the ``Latin American and Caribbean Workshop on Mathematics and Gender'' held at Casa Matemática Oaxaca (CMO) from May 15-20, 2022.