A characterization of collineations by order geometry.
Analytische Geometrie der höheren ebenen Curven [Book]
Bestimmung der Bogen dritter Ordnung, insbesondere der ordnungstreu erweiterbaren, in topologisch projektiven Ebenen.
Canonical Poisson-Nijenhuis structures on higher order tangent bundles
Let M be a smooth manifold of dimension m>0, and denote by the canonical Nijenhuis tensor on TM. Let Π be a Poisson bivector on M and the complete lift of Π on TM. In a previous paper, we have shown that is a Poisson-Nijenhuis manifold. Recently, the higher order tangent lifts of Poisson manifolds from M to have been studied and some properties were given. Furthermore, the canonical Nijenhuis tensors on are described by A. Cabras and I. Kolář [Arch. Math. (Brno) 38 (2002), 243-257],...
Connections and applications of some tangency relation of sets.
Curves of minimal order.
Independence structures in the geometry of orders.
On a conjecture of G. Bol.
On the Lines of a Surface of Order Three.
On the tangency of sets in generalized metric spaces
Ordnungsgeometrische Limessätze in kompakten Räumen. II. Mitteilung: Punktordnungswerte.
Some properties of tangent Dirac structures of higher order
Let be a smooth manifold. The tangent lift of Dirac structure on was originally studied by T. Courant in [3]. The tangent lift of higher order of Dirac structure on has been studied in [10], where tangent Dirac structure of higher order are described locally. In this paper we give an intrinsic construction of tangent Dirac structure of higher order denoted by and we study some properties of this Dirac structure. In particular, we study the Lie algebroid and the presymplectic foliation...
Sur les propriétés des cubiques gauches et le mouvement hélicoïdal d'un corps solide
Tangent Dirac structures of higher order
Let be an almost Dirac structure on a manifold . In [2] Theodore James Courant defines the tangent lifting of on and proves that: If is integrable then the tangent lift is also integrable. In this paper, we generalize this lifting to tangent bundle of higher order.
Tangent lifts of higher order of multiplicative Dirac structures
The tangent lifts of higher order of Dirac structures and some properties have been defined in [9] and studied in [11]. By the same way, the tangent lifts of higher order of Poisson structures have been studied in [10] and some applications are given. In particular, the authors have studied the nature of the Lie algebroids and singular foliations induced by these lifting. In this paper, we study the tangent lifts of higher order of multiplicative Poisson structures, multiplicative Dirac structures...
The infinitesimal counterpart of tangent presymplectic groupoids of higher order
Let be a presymplectic groupoid. In this paper we characterize the infinitesimal counter part of the tangent presymplectic groupoid of higher order, where is the tangent groupoid of higher order and is the complete lift of higher order of presymplectic form .
Über die Anzahl der ordnungsgeometrischen Scheitel von Kurven. Teil I.