- Abstract:
-
Let (M, ω) be a compact symplectic 2n-manifold, and g a Riemannian metric on M compatible with ω. For instance, g could be Kähler, with Kähler form ω. Consider compact Lagrangian submanifolds L of M. We call L Hamiltonian stationary, or H-minimal, if it is a critical point of the volume functional Volg under Hamiltonian deformations, computing Volg (L) using g|L...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted Manuscript
- Files:
-
-
(pdf, 419.3KB)
-
- Publisher copy:
- 10.1353/ajm.2011.0030
-
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- Publisher:
- Johns Hopkins University Press Publisher's website
- Journal:
- American Journal of Mathematics Journal website
- Volume:
- 133
- Issue:
- 4
- Pages:
- 1067-1092
- Publication date:
- 2011-08-01
- DOI:
- EISSN:
-
1080-6377
- ISSN:
-
0002-9327
- URN:
-
uuid:1a13bb1c-832d-46fd-9c97-ea81eb61321b
- Source identifiers:
-
170246
- Local pid:
- pubs:170246
- Copyright holder:
- Johns Hopkins University Press.
- Copyright date:
- 2011
- Notes:
- This article appeared in the American Journal of Mathematics, Volume 133, Issue 04, 2011, pages 1067-1092, Copyright © 2011, Johns Hopkins University Press.
Journal article
On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds
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