Flats in 3-manifolds
Flats in Spaces with Convex Geodesic Bicombings
In spaces of nonpositive curvature the existence of isometrically embedded flat (hyper)planes is often granted by apparently weaker conditions on large scales.We show that some such results remain valid for metric spaces with non-unique geodesic segments under suitable convexity assumptions on the distance function along distinguished geodesics. The discussion includes, among other things, the Flat Torus Theorem and Gromov’s hyperbolicity criterion referring to embedded planes. This generalizes...
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-symmetric Riemannian manifolds.
Foldable cubical complexes of nonpositive curvature.
Foliate Partial Holomorphic Structures on Principal Bundles.
Foliated and associated geometric structures on foliated manifolds
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 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