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arXiv · 2602.11930

Modified mean curvature flow of graphs in Riemannian manifolds

Jocel Faustino Norberto de Oliveira·Jorge Herbert Soares de Lira·Matheus Nunes Soares
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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.

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Jocel Faustino Norberto de Oliveira, Jorge Herbert Soares de Lira, Matheus Nunes Soares. 2026-02-12. Modified mean curvature flow of graphs in Riemannian manifolds. https://arxiv.org/abs/2602.11930

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