Flot géodésique et groupes hyperboliques d'après M. Gromov (Mémoire de D.E.A.)
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Frédéric Mathéus (1990/1991)
Séminaire de théorie spectrale et géométrie
Antonella Cabras, Ivan Kolář (2008)
Czechoslovak Mathematical Journal
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...
Chopp, David L., Sethian, James A. (1993)
Experimental Mathematics
Boeckx, Eric, Bueken, Peter, Vanhecke, Lieven (1999)
Beiträge zur Algebra und Geometrie
Thomas E. Cecil, Patrick J. Ryan (1978)
Mathematische Annalen
Xie, Xiangdong (2004)
Algebraic & Geometric Topology
Izu Vaisman (1991)
Monatshefte für Mathematik
Robert A. Wolak (1989)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Lisiecki, Krzysztof (1990)
Proceedings of the Winter School "Geometry and Physics"
[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.
Robert A. Wolak (1990)
Manuscripta mathematica
M. Gromov (1991)
Geometric and functional analysis
M. Gromov (1991)
Geometric and functional analysis
Robert Wolak (1988)
Compositio Mathematica
Dathe, Hamidou, Rukimbira, Philippe (2004)
Advances in Geometry
J. Barbosa, K. Kenmotsu, G. Oshikiri (1991)
Mathematische Zeitschrift
Escobales, Richard H.jun. (2003)
International Journal of Mathematics and Mathematical Sciences
Adam Bartoszek, Paweł Walczak (2008)
Annales Polonici Mathematici
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.
Ronaldo Garcia, Rémi Langevin, Paweł Walczak (2015)
Annales Polonici Mathematici
We study the global behavior of foliations of ellipsoids by curves making a constant angle with the lines of curvature.
Chopp, David, Velling, John A. (2003)
Experimental Mathematics
Krishan Duggal (2012)
Open Mathematics
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...