搜索结果: 1-15 共查到“数学 foliations”相关记录18条 . 查询时间(0.099 秒)
Invariant foliations near normally hyperbolic equilibria for quasilinear parabolic problems
Quasilinear parabolic equations normally stable normally hyper-bolic invariant foliations free boundary problems symmetry
2012/6/21
We consider quasilinear parabolic evolution equations in the situation where the set of equilibria forms a finite-dimensional C^1-manifold which is normally hyperbolic. The existence of foliations of ...
The aim of this note is to extend the notion of commutativity of vector fields to the category of singular foliations, using Nambu structures, i.e. integrable multi-vector fields. We will show some ba...
The sutured Floer polytope and taut depth one foliations
sutured Floer polytope taut depth one foliations Geometric Topology
2012/5/25
For closed 3-manifolds Ozsv\'ath and Szab\'o, Ni, and Hedden show that there exists a certain duality between an appropriate flavour of the Heegaard Floer polytope and the Thurston norm unit ball. For...
On the existence of stable compact leaves for transversely holomorphic foliations
Holomorphic foliation holonomy stable leaf
2012/4/17
A transversely holomorphic foliation on a compact complex manifold, exhibits a compact stable leaf if and only if the set of compact leaves is not a zero measure subset of the manifold.
Gromov-Lawson-Schoen-Yau theory and isoparametric foliations
Gromov-Lawson-Schoen-Yau theory isoparametric hypersurface positive scalar curvature
2011/9/21
Abstract: Motivated by the celebrated Gromov-Lawson-Schoen-Yau surgery the- ory on metrics of positive scalar curvature, the present paper constructs a double manifold associated with a minimal isopar...
Singular foliations with trivial canonical class
Foliation Transverse Structure Birational Geometry
2011/8/30
Abstract: This paper is devoted to describe the structure of singular codimension one foliations with numerically trivial canonical bundle on projective manifolds. To achieve this goal we study the re...
Homogeneous polar foliations of complex hyperbolic spaces
Polar actions, homogeneous foliations, complex hyperbolic space
2011/8/25
Abstract: We prove that, up to isometric congruence, there are exactly 2n+1 homogeneous polar foliations of the complex hyperbolic space. We also give an explicit description of each of these foliatio...
Relative nullity foliations and lightlike hypersurfaces in indefinite Kenmotsu manifolds
η-Einstein lightlike hypersurfaces Indefinite Kenmotsu manifold Relative nullity foliation Screen distribution
2011/4/6
This paper deals with the relative nullity distributions of lightlike hypersurfaces of indefinite Kenmotsu space forms, tangent to the structure vector field. Theorems on parallel vector fields are ob...
Foliations on the moduli space of rank two connections on the projective line minus four points
Painlev´ e VI Representation Fundamental group Logarithmic connection
2011/2/21
We look at natural foliations on the Painlev´e VI moduli space of regular connections of rank 2 on P1−{t1, t2, t3, t4}. These foliations are fibrations,and are interpreted in terms of the ...
On tangential cohomology attached to a function on complex foliations
complex foliations cohomology
2011/1/18
In this note we study a new cohomology attached to a function along the leaves of complex foliations. We also explain how this cohomology depends on the function and we study a relative cohomology and...
On polar foliations and fundamental group
fundamental groups singular Riemannian foliations polar actions
2011/1/18
In this work we investigate the relation between the fundamental group of a complete Riemannian manifold M and the quotient between the Weyl group and reflection group of a polar action on M, as well ...
A k-submanifold L of an open n-manifold M is called weakly integrable (WI)[resp. strongly integrable (SI)] if there exists a submersion : M → En−k such that L ⊂ −1(0) [resp. L = ...
We use the CR geometry of the standard hyperquadric in complex projective three-space to give a detailed twistor description of conformal foliations in Euclidean three-space.
Codimension one symplectic foliations and regular Poisson structures
Codimension one symplectic foliations regular Poisson structures
2010/11/30
In this short note we give a complete characterization of a certain class of compact corank one Poisson manifolds,those equipped with a closed one-form defining the symplectic foliation
and a closed ...
Reduction of Singularities of Three-Dimensional Line Foliations
Singularities of Three-Dimensional Line Foliations
2010/12/1
We give a birational reduction of singularities for one dimensional foliations in ambient spaces of dimension three. To do this, we first prove the existence of a Local Uniformization in the sense of ...