Hamiltonian stationary normal bundles of surfaces in \(\mathbb{R}^3\). (English) Zbl 0971.53003
Author’s abstract: A surface in \(\mathbb{R}^3\) has Hamiltonian stationary normal bundle if and only if it is either minimal, a part of a round sphere, or a part of a cone with vertex angle \(\pi/2\).
MSC:
| 53A05 | Surfaces in Euclidean and related spaces |
| 37K25 | Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry |
