On Hamiltonian-Minimal Lagrangian Tori in CP^2
A.E. Mironov
TL;DR
This paper derives equations characterizing Hamiltonian-minimal Lagrangian tori in complex projective plane CP^2 and provides explicit solutions for these tori.
Contribution
It introduces specific equations for Hamiltonian-minimal Lagrangian surfaces in CP^2 and finds particular solutions for the case of tori, advancing understanding of these geometric objects.
Findings
Derived equations for Hamiltonian-minimal Lagrangian surfaces in CP^2
Obtained explicit solutions for tori in this setting
Enhanced understanding of the geometry of Lagrangian tori in complex projective space
Abstract
We obtain some equations for Hamiltonian-minimal Lagrangian surfaces in CP^2 and give their particular solutions in the case of tori.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometry and complex manifolds · Geometric Analysis and Curvature Flows