On holonomicity criteria in second order geometry.
On Instability of Yang-Mills Connections.
On invariant operations on pseudo-Riemannian manifolds
Invariant polynomial operators on Riemannian manifolds are well understood and the knowledge of full lists of them becomes an effective tool in Riemannian geometry, [Atiyah, Bott, Patodi, 73] is a very good example. The present short paper is in fact a continuation of [Slovák, 92] where the classification problem is reconsidered under very mild assumptions and still complete classification results are derived even in some non-linear situations. Therefore, we neither repeat the detailed exposition...
On manifolds with connection
On mappings of a manifold into a Lie group
On Martin Bordemann's proof of the existence of projectively equivariant quantizations
The paper explains the notion of projectively equivariant quantization. It gives a sketch of Martin Bordemann's proof of the existence of projectively equivariant quantization on arbitrary manifolds.
On natural connections on Riemannian manifolds
On natural operations with linear connections
On Pseudo Metric Semi-Symmetric Connections
On pseudo metric semi-symmetric connections.
On quantum vector fields in general relativistic quantum mechanics.
On quasi-Riemannian fiber manifold
On reducibility of double linear connections on a double vector fibration with soldering
On Ricci Type Identities in Manifolds with Non-symmetric Affine Connection
On scalar and total scalar curvatures of Riemann-Cartan manifolds
On semi-invariant submanifolds of a nearly Kenmotsu manifold with the canonical semi-symmetric semi-metric connection
On skew 2-projectable almost complex structures on
We deal with a -tensor field on the tangent bundle preserving vertical vectors and such that is a -tensor field on , where is the canonical almost tangent structure on . A connection on is constructed by . It is shown that if is a -almost complex structure on without torsion then is a unique linear symmetric connection such that and .
On "special" fibred coordinates for general and classical connections
Using a general connection Γ on a fibred manifold p:Y → M and a torsion free classical linear connection ∇ on M, we distinguish some “special” fibred coordinate systems on Y, and then we construct a general connection on Fp:FY → FM for any vector bundle functor F: ℳ f → of finite order.
On the absolute differentiation of geometric object fields
On the algebraic structure on the jet prolongations of fibred manifolds