کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9518127 1345526 2005 37 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
U(1)-invariant special Lagrangian 3-folds. I. Nonsingular solutions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
U(1)-invariant special Lagrangian 3-folds. I. Nonsingular solutions
چکیده انگلیسی
This paper focusses on the nonsingular case, when a is nonzero. We prove analogues for our nonlinear Cauchy-Riemann equation of well-known results in complex analysis. In particular, we prove existence and uniqueness for solutions of two Dirichlet problems derived from it. This yields existence and uniqueness of a large class of nonsingular U(1)-invariant SL 3-folds in C3, with two kinds of boundary conditions. The sequels extend these to the case a=0, study the singularities of the SL 3-folds that arise, and construct special Lagrangian fibrations of open sets in C3.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 192, Issue 1, 20 March 2005, Pages 35-71
نویسندگان
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