منابع مشابه
Pseudoholomorphic discs attached to CR - submanifolds of almost complex spaces
Let E be a generic real submanifold of an almost complex manifold. The geometry of Bishop discs attached to E is studied in terms of the Levi form of E. Résumé. Nous étudions la géométrie des disques de Bishop attachés à une sous-variété réelle générique d’une variété presque complexe. MSC: 32H02, 53C15.
متن کاملAn Existence Theorem for Stationary Discs in Almost Complex Manifolds
An existence theorem for stationary discs of strongly pseudo-convex domains in almost complex manifolds is proved. More precisely, it is shown that, for all points of a suitable neighborhood of the boundary and for any vector belonging to certain open subsets of the tangent spaces, there exists a unique stationary disc passing through that point and tangent to the given vector. Introduction Ana...
متن کاملExtremal Almost-kähler Metrics
We generalize the notions of the Futaki invariant and extremal vector field of a compact Kähler manifold to the general almost-Kähler case and show the periodicity of the extremal vector field when the symplectic form represents an integral cohomology class modulo torsion. We also give an explicit formula of the hermitian scalar curvature in Darboux coordinates which allows us to obtain example...
متن کاملALMOST S^{*}-COMPACTNESS IN L-TOPOLOGICAL SPACES
In this paper, the notion of almost S^{*}-compactness in L-topologicalspaces is introduced following Shi’s definition of S^{*}-compactness. The propertiesof this notion are studied and the relationship between it and otherdefinitions of almost compactness are discussed. Several characterizations ofalmost S^{*}-compactness are also presented.
متن کاملM ay 2 00 5 Filling hypersurfaces by discs in almost complex manifolds of dimension 2
We study pseudoholomorphic discs with boundaries attached to a real hypersurface E in an almost complex manifold of dimension 2. We prove that if E contains no discs, then they fill a one sided neighborhood of E. MSC: 32H02, 53C15.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
سال: 2010
ISSN: 2036-2145,0391-173X
DOI: 10.2422/2036-2145.2010.4.04