A family of free boundary minimal surfaces in the unit ball
Anna Siffert, Jan Wuzyk
TL;DR
This paper introduces a new family of free boundary minimal surfaces within the unit ball, constructed using equivariant differential geometry techniques, expanding the known examples in geometric analysis.
Contribution
It presents a novel family of free boundary minimal surfaces in the unit ball, utilizing equivariant differential geometry methods.
Findings
Constructed explicit examples of free boundary minimal surfaces.
Extended the class of known minimal surfaces with free boundary conditions.
Demonstrated the effectiveness of equivariant methods in geometric analysis.
Abstract
Using equivariant differential geometry, we provide a family of free boundary minimal surfaces in the unit ball.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematics and Applications · Geometric Analysis and Curvature Flows