Journal article

### Uniqueness results for special Lagrangians and Lagrangian mean curvature flow expanders in C^m

Abstract:

We prove two main results: (a) Suppose $L$ is a closed, embedded, exact special Lagrangian $m$-fold in ${\mathbb C}^m$ for $m\ge 3$ asymptotic at infinity to the union $\Pi_1\cup\Pi_2$ of two transverse special Lagrangian planes $\Pi_1,\Pi_2$ in ${\mathbb C}^m$. Then $L$ is one of the explicit 'Lawlor neck' family of examples found by Lawlor (Invent. math. 95, 1989). (b) Suppose $L$ is a closed, embedded, exact Lagrangian mean curvature flow expander in ${\mathbb C}^m$ for $m\ge 3$ asympt...

Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

### Access Document

Files:
• (pdf, 731.7KB)
Publisher copy:
10.1215/00127094-3167275

### Authors

More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Publisher:
Duke University Press Publisher's website
Journal:
Duke Mathematical Journal Journal website
Volume:
165
Issue:
5
Pages:
847-933
Publication date:
2015-01-01
DOI:
EISSN:
1547-7398
ISSN:
0012-7094
URN:
uuid:7d9026c3-35cb-4a8d-9ffe-af179cc85bf6
Source identifiers:
459672
Local pid:
pubs:459672
Keywords: