Partial integrability of almost complex structures on Thurston manifolds
نویسندگان
چکیده
منابع مشابه
Integrability of Rough Almost Complex Structures
We extend the Newlander-Nirenberg theorem to manifolds with almost complex structures that have somewhat less than Lipschitz regularity. We also discuss the regularity of local holomorphic coordinates in the integrable case, with particular attention to Lipschitz almost complex structures.
متن کاملAn integrability theorem for almost complex manifolds I
In this paper we prove a new geometric integrability theorem for almost complex manifolds. Let M be a connected, smooth 2m real dimensional manifold with an U(m) structure on its tangent bundle and ∇ be a compatible connection on it. Assume the complexified curvature of the connection has vanishing (0, 2) component. Then we claim that M can be given the structure of an m complex dimensional Käh...
متن کاملConvex projective structures on Gromov–Thurston manifolds
Gromov and Thurston in [10] constructed, for each n 4, examples of compact n– manifolds which admit metrics of negative curvature, with arbitrarily small pinching constants, but do not admit metrics of constant curvature. We review these examples in Section 3. The main goal of this paper is to put convex projective structures on Gromov– Thurston examples. Suppose that RP is an open subset and...
متن کاملStably and Almost Complex Structures on Bounded Flag Manifolds
We study the enumeration problem of stably complex structures on bounded flag manifolds arising from omniorientations, and determine those induced by almost complex structures. We also enumerate the stably complex structures on these manifolds which bound, therefore representing zero in the complex cobordism ring Ω∗ .
متن کاملAn integrability theorem for almost Kähler manifolds
In this paper we prove a new geometric integrability theorem for almost complex manifolds. Let M be a connected, oriented, smooth 2m real dimensional manifold with an U(m) structure on its tangent bundle. Moreover let ∇ be a compatible connection on it. Assume the complexified curvature of the connection has vanishing (0, 2) component. Then we claim that M can be given the structure of an m com...
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: Annales Polonici Mathematici
سال: 2016
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap4046-11-2016