Results 21 to 30 of about 618 (61)
Foliations associated to regular Poisson structures [PDF]
A regular Poisson manifold can be described as a foliated space carrying a tangentially symplectic form. Examples of foliations are produced here that are not induced by any Poisson structure although all the basic obstructions vanish.
arxiv
Taste compounds, affecting factors, and methods used to evaluate chicken soup: A review. [PDF]
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On the nature of the "explicit formulas" in analytic number theory - a simple example [PDF]
We interpret the "explicit formulas" in the sense of analytic number theory for the zeta function of an elliptic curve over a finite field as a transversal index theorem on a 3-dimensional laminated space.
arxiv
Parallel Focal Structure and Singular Riemannian Foliations [PDF]
We prove that a submanifold with parallel focal structure, which is a generalization of isoparametric and equifocal submanifolds, induces a singular Riemannian foliation of the ambient space by its parallel and focal manifolds.
arxiv
On the Patterns of Principal Curvature Lines around a Curve of Umbilic Points [PDF]
In this paper is studied the behavior of principal curvature lines near a curve of umbilic points of a smooth surface.
arxiv
Foliations with complex leaves and instability for harmonic foliations [PDF]
In this paper, we study stability for harmonic foliations on locally conformal K\"ahler manifolds with complex leaves. We also discuss instability for harmonic foliations on compact submanifolds immersed in Euclidean spaces and compact homogeneous spaces.
arxiv
Codimension two Umbilic points on Surfaces Immersed in R^3 [PDF]
In this paper is studied the behavior of lines of curvature near umbilic points that appear generically on surfaces depending on two parameters.
arxiv
Equicontinuous Geodesic Flows [PDF]
The author shows that equicontinuous geodesic flows on surfaces are periodic. A similar result for flows on 3-manifolds is also proven. The idea of the proof is to show that the return map is recurrent and therefore periodic.
arxiv
A Brief Note on Foliations of Constant Gaussian Curvature [PDF]
This note provides an alternative proof of a result of Labourie. We show that the two complements of the convex core of a three dimensional quasi-fuchsian hyperbolic manifold may be foliated by embedded hypersurfaces of constant Gaussian curvature.
arxiv
Moduli space of CR-projective complex foliated tori [PDF]
We study the moduli space of CR-projective complex foliated tori. We describe it in terms of isotropic subspaces of Grassmannian and we show that it is a normal complex analytic space.
arxiv