Flot géodésique et groupes hyperboliques d'après M. Gromov (Mémoire de D.E.A.)
Flow prolongation of some tangent valued forms
We study the prolongation of semibasic projectable tangent valued -forms on fibered manifolds with respect to a bundle functor on local isomorphisms that is based on the flow prolongation of vector fields and uses an auxiliary linear -th order connection on the base manifold, where is the base order of . We find a general condition under which the Frölicher-Nijenhuis bracket is preserved. Special attention is paid to the curvature of connections. The first order jet functor and the tangent...
Flow under curvature: Singularity formation, minimal surfaces, and geodesics.
Flow-symmetric Riemannian manifolds.
Focal Sets, Taut Embeddings and the Cyclides of Dupin.
Foldable cubical complexes of nonpositive curvature.
Foliate Partial Holomorphic Structures on Principal Bundles.
Foliated and associated geometric structures on foliated manifolds
Foliated groupoids
[For the entire collection see Zbl 0699.00032.] The author defines a general notion of a foliated groupoid over a foliation with singularities, within the framework of a (known) general notion of a differentiable structure. Then, he generalizes the classical correspondence between the subalgebras of Lie algebras and the subgroups of the corresponding Lie groups for this type of pseudogroups.
Foliated G-structures and riemannian foliations.
Foliated Plateau Problem, Part I: Minimal Varieties.
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...