Prescribed Webster scalar curvature flow on CR manifold
Pak Tung Ho, Quoc Anh Ngo, Hong Zhang
TL;DR
This paper studies a geometric flow on 3D CR manifolds to establish the existence of metrics with prescribed Webster scalar curvature, advancing understanding of CR geometry and curvature problems.
Contribution
It introduces and analyzes the prescribed Webster scalar curvature flow to prove existence results on 3D CR manifolds with nonnegative CR Yamabe constant.
Findings
Existence of solutions for the prescribed Webster scalar curvature problem.
Application of the flow method to CR geometry.
Results specific to 3-dimensional compact CR manifolds.
Abstract
Using the prescribed Webster scalar curvature flow, we prove some existence results on the 3-dimensional compact CR manifold with nonnegative CR Yamabe constant.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Holomorphic and Operator Theory