Modified mean curvature flow of graphs in Riemannian manifolds

Journal of Differential Equations 2026 Open access

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Authors: Jocel Faustino Norberto de Oliveira, Jorge Herbert Soares de Lira, Matheus Nunes Soares
DOI: 10.1016/j.jde.2026.114648
Cited by: 0
References: 21

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.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows

Publication details

Journal / source
Journal of Differential Equations
Publisher
Elsevier BV
Volume
479
Pages
114648–114648
Publication date
23 July 2026
Language
EN