Canonical nonlinear connections in the multi-time Hamilton geometry.
Circle-valued Morse theory and Reidemeister torsion.
Classes caractéristiques secondaires des fibrés plats
Clifford-Kähler manifolds.
Compact 3-manifolds with a flat Carnot-Carathéodory metric
Connections on embedded manifolds.
Connections with prescribed curvature and Yang-Mills currents : the semi-simple case
Corrections to "L2 -characteristic classes of Maslov–Trofimov of hamiltonian systems on the Lie algebra of the upper triangular matrices" (Fund. Math. 156 (1998), 99–110)
Curvatures of the diagonal lift from an affine manifold to the linear frame bundle
We investigate the curvature of the so-called diagonal lift from an affine manifold to the linear frame bundle LM. This is an affine analogue (but not a direct generalization) of the Sasaki-Mok metric on LM investigated by L.A. Cordero and M. de León in 1986. The Sasaki-Mok metric is constructed over a Riemannian manifold as base manifold. We receive analogous and, surprisingly, even stronger results in our affine setting.