Tangentially affine foliations and leafwise affine functions on the torus
نویسندگان
چکیده
منابع مشابه
A Note on Tangentially Transitive Affine Planes
Let $1 be a finite affine translation plane. If 21 contains a subplane, collineation group pair (2I0, A) such that: * A leaves each point of 2t0 fixed and acts transitively on the points of / \ { / n 2I0}, for / a line of 21 with / n 2l0 a line of 2l0, then 21 is said to be tangentially transitive with respect to 2l0. Jha in his thesis [3] has proved that if 21 is tangentially transitive with r...
متن کاملAffine Holonomy Foliations
We establish a geometric condition that determines when a type III von Neumann algebra arises from a foliation whose holonomy becomes affine with respect to a suitable transverse coordinate system. Under such an assumption the Godbillon-Vey class of the foliation becomes trivial in contrast to the case considered in Connes’s famous theorem.
متن کاملAffine Hirsch foliations on 3-manifolds
This paper is devoted to discussing affine Hirsch foliations on 3-manifolds. First, we prove that up to isotopic leaf-conjugacy, every closed orientable 3-manifold M admits 0, 1 or 2 affine Hirsch foliations. Then, we analysis the 3-manifolds admitting two affine Hirsch foliations (abbreviated as Hirsch manifolds). On one hand, we construct Hirsch manifolds by using exchangeable braided links (...
متن کاملContinuous Leafwise Harmonic Functions on Codimension One Transversely Isometric Foliations
Let F be a codimension one foliation on a closed manifold M which admits a transverse dimension one Riemannian foliation. Then any continuous leafwise harmonic functions are shown to be constant on leaves.
متن کاملThe Weil-petersson Kähler Form and Affine Foliations on Surfaces
The space of broken hyperbolic structures generalizes the usual Teichmüller space of a punctured surface, and the space of projectivized broken measured foliations–or equivalently, the space of projectivized affine foliations of a punctured surface–likewise admits a generalization to projectivized broken measured foliations. Just as projectivized measured foliations provide Thurston's boundary ...
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: Kodai Mathematical Journal
سال: 1993
ISSN: 0386-5991
DOI: 10.2996/kmj/1138039702