Almost contact structures on Brieskorn manifolds
نویسندگان
چکیده
منابع مشابه
Contact Homology of Brieskorn Manifolds
We give an algorithm for computing the contact homology of some Brieskorn manifolds. As an application, we construct infinitely many contact structures on the class of simply connected contact manifolds that admit nice contact forms (i.e. no Reeb orbits of degree -1,0 or 1) and have index positivity with trivial first Chern class.
متن کاملOpen Book Decompositions for Contact Structures on Brieskorn Manifolds
In this paper, we give an open book decomposition for the contact structures on some Brieskorn manifolds, in particular for the contact structures of Ustilovsky. The decomposition uses right-handed Dehn twists as conjectured by Giroux. 0. Introduction At the ICM of 2002 Giroux announced some of his results concerning a correspondence between contact structures on manifolds and open book structu...
متن کاملContact Structures on 5–manifolds
Using recent work on high dimensional Lutz twists and families of Weinstein structures we show that any almost contact structure on a 5–manifold is homotopic to a contact structure.
متن کاملContact Structures on Elliptic 3-manifolds
We show that an oriented elliptic 3-manifold admits a universally tight positive contact structure if and only if the corresponding group of deck transformations on S3 (after possibly conjugating by an isometry) preserves the standard contact structure. We also relate universally tight contact structures on 3-manifolds covered by S3 to the isomorphism SO(4) = (SU(2) × SU(2))/±1. The main tool u...
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 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: Tohoku Mathematical Journal
سال: 1976
ISSN: 0040-8735
DOI: 10.2748/tmj/1178240748