Modified mean curvature flow of graphs in Riemannian manifolds
Differential Geometry
2026-02-13 v1
Abstract
We obtain height, gradient, and curvature a priori estimates for a modified mean curvature flow in Riemannian manifolds endowed with a Killing vector field. As a consequence, we prove the existence of smooth, entire, longtime solutions for this extrinsic flow with smooth initial data.
Keywords
Cite
@article{arxiv.2602.11930,
title = {Modified mean curvature flow of graphs in Riemannian manifolds},
author = {Jocel Faustino Norberto de Oliveira and Jorge Herbert Soares de Lira and Matheus Nunes Soares},
journal= {arXiv preprint arXiv:2602.11930},
year = {2026}
}
Comments
37 pages. Comments and suggestions are welcome