Hamiltonian stationary normal bundles of surfaces in $\mathbf R^3$
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- by Makoto Sakaki PDF
- Proc. Amer. Math. Soc. 127 (1999), 1509-1515 Request permission
Abstract:
A surface in $\mathbf R^3$ 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 $\pi /2$.References
- Reese Harvey and H. Blaine Lawson Jr., Calibrated geometries, Acta Math. 148 (1982), 47–157. MR 666108, DOI 10.1007/BF02392726
- Yong-Geun Oh, Volume minimization of Lagrangian submanifolds under Hamiltonian deformations, Math. Z. 212 (1993), no. 2, 175–192. MR 1202805, DOI 10.1007/BF02571651
Additional Information
- Makoto Sakaki
- Affiliation: Department of Mathematics, Faculty of Science, Hirosaki University, Hirosaki 036, Japan
- Address at time of publication: Department of Mathematical System Science, Faculty of Science and Technology, Hirosaki University, Hirosaki 036-8561, Japan
- Email: sakaki@cc.hirosaki-u.ac.jp
- Received by editor(s): June 16, 1997
- Received by editor(s) in revised form: August 19, 1997
- Published electronically: January 29, 1999
- Communicated by: Peter Li
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1509-1515
- MSC (1991): Primary 53C42; Secondary 53A05
- DOI: https://doi.org/10.1090/S0002-9939-99-04700-0
- MathSciNet review: 1473678
Dedicated: Dedicated to Professor Shukichi Tanno on his 60th birthday