On Levi-fiat hypersurfaces with given boundary in C~n

• 作 者: Pierre DOLBEAULT
• 机 构: InstitutdeMath■matquesdeJussieuUniversité,PierreetMarieCurie,175rueduChevaleret,75013Paris,Franc
• 出 处: 中国科学：数学英文版
• 发表日期: 2008年4期
• 关键词: REAL SUBMANIFOLDS in complex MANIFOLDS real submanifolds in complex manifolds

Let S■C~n be a compact connected 2-codimensional submanifold.If n≥3,essentially local conditions and the assumption:every complex point of S is elliptic imply the existence of a projection in C~n of a Levi-flat(2n-1)-subvariety whose boundary is S(Dolbeau