Constant Mean Curvature Surfaces in Homology Classes
Baris Coskunuzer
TL;DR
This paper proves the existence of constant mean curvature surfaces within the homology classes of closed 3-manifolds, advancing understanding of geometric structures in topology.
Contribution
It establishes the existence of constant mean curvature surfaces in all homology classes of closed 3-manifolds, a novel result in geometric topology.
Findings
Existence of constant mean curvature surfaces in homology classes
Extension of geometric analysis to 3-manifolds
New methods for constructing such surfaces
Abstract
We show the existence of constant mean curvature surfaces in the homology classes of closed 3-manifolds.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Geometry and complex manifolds