期刊
GEOMETRIC AND FUNCTIONAL ANALYSIS
卷 33, 期 2, 页码 376-420出版社
SPRINGER BASEL AG
DOI: 10.1007/s00039-023-00634-x
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This article studies a condition that an exact special Lagrangian N subset of C-n has a multiplicity one. When C is a special Lagrangian cone with a smooth, connected link and satisfies an integrability condition, the corresponding cylindrical tangent cone is unique. This result applies, for example, when C = C-HL(m) is the Harvey-Lawson Tm-1 cone for m≠8, 9.
We show that if an exact special Lagrangian N subset of C-n has a multiplicity one, cylindrical tangent cone of the form R-k x C where C is a special Lagrangian cone with smooth, connected link, then this tangent cone is unique provided C satisfies an integrability condition. This applies, for example, when C = C-HL(m) is the Harvey-Lawson Tm-1 cone for m&NOTEQUexpressionL;8, 9.
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