2 papers
math.DG2025
Locally constrained flows and sharp Michael-Simon inequalities in hyperbolic space
Jingshi Cui, Peibiao Zhao
Brendle [6] successfully establishes the sharp Michael-Simon inequality for mean curvature on Riemannian manifolds with nonnegative sectional curvature (), and…
math.DG2024
Horizontal inverse mean curvature flow in the Heisenberg group
Jingshi Cui, Peibiao Zhao
Huisken and Ilmanen [J. Differential Geom., 2001] created the theory of weak solutions for inverse mean curvature flows (IMCF) of hypersurfaces on Riemannian manifolds, and proved…