Prescribing the curvature to Killing Graphs
Yunelsy N Alvarez
TL;DR
This paper proves the existence and uniqueness of Killing graphs with prescribed mean curvature, even when the functions are not constant along the flow lines of the Killing vector field.
Contribution
It extends the theory of Killing graphs by allowing non-constant functions along the Killing flow lines, providing new existence and uniqueness results.
Findings
Existence of Killing graphs with prescribed mean curvature.
Uniqueness of such graphs under broader conditions.
Generalization to non-constant functions along flow lines.
Abstract
In this work we prove the existence and uniqueness of Killing graphs with prescribed mean curvature considering functions which are not necessarily constant along the flow lines of the Killing vector field.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Nonlinear Partial Differential Equations