Uniqueness of some cylindrical tangent cones to special Lagrangians
Abstract We show that if an exact special Lagrangian $$N\subset {\mathbb {C}}^n$$ N ⊂...
| Asıl Yazarlar: | , |
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| Diğer Yazarlar: | |
| Materyal Türü: | Makale |
| Dil: | English |
| Baskı/Yayın Bilgisi: |
Springer International Publishing
2023
|
| Online Erişim: | https://hdl.handle.net/1721.1/148621 |
| Özet: | Abstract
We show that if an exact special Lagrangian
$$N\subset {\mathbb {C}}^n$$
N
⊂
C
n
has a multiplicity one, cylindrical tangent cone of the form
$${\mathbb {R}}^{k}\times {\textbf{C}}$$
R
k
×
C
where
$${\textbf{C}}$$
C
is a special Lagrangian cone with smooth, connected link, then this tangent cone is unique provided
$${\textbf{C}}$$
C
satisfies an integrability condition. This applies, for example, when
$${\textbf{C}}= {\textbf{C}}_{HL}^{m}$$
C
=
C
HL
m
is the Harvey-Lawson
$$T^{m-1}$$
T
m
-
1
cone for
$$m\ne 8,9$$
m
≠
8
,
9
. |
|---|