The d-bar-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in CP^n with n>= 3

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dc.creatorCao, Jianguo
dc.creatorShaw, Mei-Chi
dc.date2006-04-05
dc.date2006-10-13
dc.date.accessioned2026-07-07T07:10:34Z
dc.date.available2026-07-07T07:10:34Z
dc.descriptionA Lipschitz hypersurface is a hypersurface which locally is the graph of a Lipschitz function. A Lipschitz (or C^1) hypersurface is said to be Levi-flat if it is locally foliated by complex manifolds of complex dimension (n-1). We shall prove that there exist no Lipschitz Levi-flat hypersurfaces in CP^n with n >= 3. Our new estimates on the d-bar-Cauchy problems are different from the earlier Siu's integral kernal method.
dc.identifierhttps://arxiv.org/abs/math/0604112
dc.identifierhttp://arxiv.org/abs/math/0604112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111457
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subject53C55, 32T27
dc.titleThe d-bar-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in CP^n with n>= 3
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