Complete minimal hypersurfaces in quaternionic hyperbolic space
Jaime Orjuela
TL;DR
This paper introduces new embedded complete minimal hypersurfaces and foliations in quaternionic hyperbolic space, using analytic deformations of bisectors and the concept of fans to expand the known geometric structures.
Contribution
It provides novel constructions of minimal hypersurfaces in quaternionic hyperbolic space, including analytic deformation techniques of bisectors and the introduction of fans.
Findings
New embedded complete minimal hypersurfaces constructed.
Minimal foliations in quaternionic hyperbolic space established.
Analytic deformations of bisectors developed.
Abstract
We construct new examples of embedded, complete minimal hypersurfaces in quaternionc hyperbolic space and also some minimal foliations. We introduce fans an construct analytic deformations of bisectors.
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