S-stable foliations on flow-spines with transverse Reeb flow
                    
                        
                            نویسندگان
                            
                            
                        
                        
                    
                    
                    چکیده
منابع مشابه
On holomorphic foliations with projective transverse structure
We study codimension one holomorphic foliations on complex projective spaces and compact manifolds under the assumption that the foliation has a projective transverse structure in the complement of some invariant codimension one analytic subset. The basic motivation is the characterization of pull-backs of Riccati foliations on projective spaces. Our techniques apply to give a description of th...
متن کاملReeb-Thurston stability for symplectic foliations
We prove a version of the local Reeb-Thurston stability theorem for symplectic foliations. Introduction A symplectic foliation on a manifold M is a (regular) foliation F endowed with a 2-form ω on TF whose restriction to each leaf S of F is a symplectic form ωS ∈ 2(S). Equivalently, a symplectic foliation is a Poisson structure of constant rank. In this paper we prove a normal form theorem for ...
متن کاملReeb Foliations on S and Contact 5-manifolds Violating the Thurston-bennequin Inequality
We obtain the following two results through foliation theoretic approaches including a review of Lawson’s construction of a codimension-one foliation on the 5-sphere: 1) The standard contact structure on the 5-sphere deforms to ‘Reeb foliations’. 2) We define a 5-dimensional Lutz tube which contains a plastikstufe. Inserting it into any contact 5-manifold, we obtain a contact structure which vi...
متن کاملAutomorphic Forms and Reeb-Like Foliations on Three-Manifolds
In this paper, we consider different ways of generating dynamical systems on 3-manifolds. We first derive explicit differential equations for dynamical systems defined on generic hyperbolic 3-manifolds by using automorphic function theory to uniformize the upper half-space model. It is achieved via the modification of the standard Poincaré theta series to generate systems invariant within each ...
متن کاملOn Holomorphic Foliations Transverse to Spheres
We study the problem of existence and classification of holomorphic foliations transverse to a real submanifold in the complex affine space. In particular we investigate the existence of a codimension one holomorphic foliation transverse to a sphere in C for n ≥ 3. 2000 Math. Subj. Class. Primary 32S65; Secondary 57R30.
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: Hiroshima Mathematical Journal
سال: 2021
ISSN: 0018-2079
DOI: 10.32917/h2020026