The values of sectional curvature in indefinite metrics.
Timelike -slant helices in Minkowski space
We consider a unit speed timelike curve in Minkowski 4-space and denote the Frenet frame of by . We say that is a generalized helix if one of the unit vector fields of the Frenet frame has constant scalar product with a fixed direction of . In this work we study those helices where the function is constant and we give different characterizations of such curves.
Timelike trajectories with fixed energy under a potential in static spacetimes.
Totally umbilical pseudo-Riemannian submanifolds of the paracomplex projective space
Trajectories connecting two submanifolds on a non-complete Lorentzian manifold.
Trajectories under a vectorial potential on stationary manifolds.
Transformations of Robertson-Walker spacetimes preserving separation zero.
Transitive conformal holonomy groups
For (M, [g]) a conformal manifold of signature (p, q) and dimension at least three, the conformal holonomy group Hol(M, [g]) ⊂ O(p + 1, q + 1) is an invariant induced by the canonical Cartan geometry of (M, [g]). We give a description of all possible connected conformal holonomy groups which act transitively on the Möbius sphere S p,q, the homogeneous model space for conformal structures of signature (p, q). The main part of this description is a list of all such groups which also act irreducibly...
Translation to bundle operators.
Un programme de quantification des champs libres relativistes sur les espaces courbes
Uniqueness of timelike killing vector fields
Variations on the theme of twistor spaces.
Variétés anti-de Sitter de dimension 3
Variétés anti-de Sitter de dimension 3 exotiques
Le but de cet article est d’exposer de nouveaux exemples de structures anti-de Sitter sur des fibrés en cercles au-dessus d’une surface hyperbolique qui ne sont pas, modulo revêtement et quotient finis, des déformations de structures homogènes.
Variétés spatiales de codimension deux immergées dans un espace de Minkowski muni d'une connexion principale
Volume preserving actions of lattices in semisimple groups on compact manifolds
Weakly irreducible subgroups of
Connected weakly irreducible not irreducible subgroups of that satisfy a certain additional condition are classified. This will be used to classify connected holonomy groups of pseudo-hyper-Kählerian manifolds of index 4.
Гауссова и средняя кривизны двумерных подгрупп трехмерных унимодулярных лоренцeвых групп Ли.
Ещё о геометрии пространства Эйнштейна максимальной подвижности.
Изометрические погружения областей трехмерного пространства Лобачевского в пятимерное евклидово пространство и движение твердого тела