On a partial complex structure
On a partial product structure
On certain groups of holomorphic maps
On Clifford-type structures [Book]
On curvatures of linear frame bundles with naturally lifted metrics.
On -manifolds
On holonomicity criteria in second order geometry.
On quantizing A-bundles over Hamilton G-spaces
On simultaneous integrability of two commuting almost tangent structures
On the algebraic hull of an automorphism group of a principal bundle.
On the automorphism group of a compact Lorentz manifold and other geometric.
On the characteristic connection of gwistor space
We give a brief presentation of gwistor spaces, which is a new concept from G 2 geometry. Then we compute the characteristic torsion T c of the gwistor space of an oriented Riemannian 4-manifold with constant sectional curvature k and deduce the condition under which T c is ∇c-parallel; this allows for the classification of the G 2 structure with torsion and the characteristic holonomy according to known references. The case of an Einstein base manifold is envisaged.
On the geometry of frame bundles
Let be a Riemannian manifold, its frame bundle. We construct new examples of Riemannian metrics, which are obtained from Riemannian metrics on the tangent bundle . We compute the Levi–Civita connection and curvatures of these metrics.
On the Lie algebra of vertical prolongation operators
On the structure function of a -structure
On totally umbilical cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of Cayley algebra
On transverse structures of foliations
On weakly symmetric and special weakly Ricci symmetric Lorentzian -Kenmotsu manifolds.
Order reduction of the Euler-Lagrange equations of higher order invariant variational problems on frame bundles
Let be a principal bundle of frames with the structure group . It is shown that the variational problem, defined by -invariant Lagrangian on , can be equivalently studied on the associated space of connections with some compatibility condition, which gives us order reduction of the corresponding Euler-Lagrange equations.