3D-Darboux motions in 4-dimensional Euclidean space.
3-K-contact Wolf spaces
The aim of this paper is to give an easy explicit description of 3-K-contact structures on SO(3)-principal fibre bundles over Wolf quaternionic Kähler manifolds.
3-manifolds with(out) metrics of nonpositive curvature.
3rd order differential invariants of coframes
3-submersions from QR-hypersurfaces of quaternionic Kähler manifolds
We study 3-submersions from a QR-hypersurface of a quaternionic Kähler manifold onto an almost quaternionic hermitian manifold. We also prove the non-existence of quaternionic submersions between quaternionic Kähler manifolds which are not locally hyper-Kähler.
3-type curves in the Euclidean space .
3-type curves in the Euclidean space E5
3-type Curves on Hyperboloids of Revolution and Cones of Revolution
4 Feuilletages et mécanique hamiltonienne
4-dimensional anti-Kähler manifolds and Weyl curvature
On a 4-dimensional anti-Kähler manifold, its zero scalar curvature implies that its Weyl curvature vanishes and vice versa. In particular any 4-dimensional anti-Kähler manifold with zero scalar curvature is flat.
4-dimensional c-symplectic -manifolds with non-empty fixed point set need not be c-Hamiltonian
The aim of this article is to answer a question posed by J. Oprea in his talk at the Workshop "Homotopy and Geometry".
4-Dimensional (Para)-Kähler-Weyl Structures
4-planar mappings of almost quaternionic and almost antiquaternionic Spaces.
50 years sets with positive reach -- a survey.
(F1, F2)- And (F3, F4)-Connexions Of An Almost Complex And An Almost Product Space
∇-flat functions on manifolds
We investigate ∇-flat and pointwise-∇-flat functions on affine and Riemannian manifolds. We show that the set of all ∇-flat functions on (M,∇) is a ring which has interesting properties similar to the ring of polynomial functions.
...-flat manifolds and Riemannian submersions.
-quasi-Frobenius Lie algebras
A Lie version of Turaev’s -Frobenius algebras from 2-dimensional homotopy quantum field theory is proposed. The foundation for this Lie version is a structure we call a -quasi-Frobenius Lie algebra for a finite dimensional Lie algebra. The latter consists of a quasi-Frobenius Lie algebra together with a left -module structure which acts on via derivations and for which is -invariant. Geometrically, -quasi-Frobenius Lie algebras are the Lie algebra structures associated to symplectic...
“Geometry” of spin 3 gauge theories
...-Kongruenzen von Vincensini und Verallgemeinerungen der Kongruenzen mit einer Minimalfläche als Mittelhüllfläche.