Foliated Problem, Part II: Harmonic Maps of Foliations.
Foliations admitting transverse systems of differential equations
Foliations and contact structures.
Foliations by hypersurfaces with constant mean curvature.
Foliations by minimal surfaces and contact structures on certain closed 3-manifolds.
Foliations by surfaces of a peculiar class
We classify surfaces in 3-dimensional space forms which have all the local conformal invariants constant and show that compact 3-manifolds of nonzero constant sectional curvature admit no foliations by such surfaces.
Foliations making a constant angle with principal directions on ellipsoids
We study the global behavior of foliations of ellipsoids by curves making a constant angle with the lines of curvature.
Foliations of hyperbolic space by constant mean curvature surfaces sharing ideal boundary.
Foliations of lightlike hypersurfaces and their physical interpretation
This paper deals with a family of lightlike (null) hypersurfaces (H u) of a Lorentzian manifold M such that each null normal vector ℓ of H u is not entirely in H u, but, is defined in some open subset of M around H u. Although the family (H u) is not unique, we show, subject to some reasonable condition(s), that the involved induced objects are independent of the choice of (H u) once evaluated at u = constant. We use (n+1)-splitting Lorentzian manifold to obtain a normalization of ℓ and a well-defined...
Foliations on closed geodesics with positive mixed sectional curvature and special behaviour of -Jacobi fields.
Foliations with complex leaves
Fonctionnelles invariantes et courants basiques
Dans ce travail: (1) on caractérise l’espace des fonctionnelles invariantes par un groupe compact G opérant linéairement et continûment sur un espace vectoriel topologique localement convexe séparé et séquentiellement complet E plus précisément, on montre que est le dual topologique du sous-espace des vecteurs de E qui sont G-invariants. (2) On étudie les courants basiques sur une variété feuilletée (V,ℱ). On obtient alors, dans le cas où le feuilletage est associé à une action localement...
Fonctions de Green de l'équation de Dirac dans l'univers de De Sitter
Fonctions généralisées sphériques sur
Fonctions harmoniques sur les variétés
Fonctions holomorphes sur l'espace des cycles
Fonctions presque holomorphes
Fonctions zêta de Selberg et surfaces de géométrie finie
Forced anisotropic mean curvature flow of graphs in relative geometry
The paper is concerned with the graph formulation of forced anisotropic mean curvature flow in the context of the heteroepitaxial growth of quantum dots. The problem is generalized by including anisotropy by means of Finsler metrics. A semi-discrete numerical scheme based on the method of lines is presented. Computational results with various anisotropy settings are shown and discussed.
FOREWORD