A non-vanishing result for the CMC flux
William H. Meeks III, Pablo Mira, Joaqu\'in P\'erez
TL;DR
This paper proves that the CMC flux does not vanish for boundaries of specific Riemannian manifolds with constant mean curvature, providing new insights into geometric analysis.
Contribution
It establishes a non-vanishing result for the CMC flux in certain Riemannian manifolds, a novel theoretical advancement.
Findings
CMC flux is non-zero for boundaries of specified manifolds
Provides new theoretical tools for geometric analysis
Enhances understanding of constant mean curvature surfaces
Abstract
We prove the non-vanishing of the CMC flux of the boundaries of certain Riemannian manifolds with constant mean curvature.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Nonlinear Partial Differential Equations