Metric semi-symmetric -linear connections in the bundle of accelerations.

Purcaru, Monica

Displaying similar documents to “Metric semi-symmetric $N$ -linear connections in the bundle of accelerations.”

On forms and connections on fibre bundles

Anton Dekrét (1980)

Časopis pro pěstování matematiky

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Curvature properties of a semi-symmetric metric connection on S-manifolds

Mehmet Akif Akyol, Aysel Turgut Vanli, Luis M. Fernández (2013)

Annales Polonici Mathematici

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In this study, S-manifolds endowed with a semi-symmetric metric connection naturally related with the S-structure are considered and some curvature properties of such a connection are given. In particular, the conditions of semi-symmetry, Ricci semi-symmetry and Ricci-projective semi-symmetry of this semi-symmetric metric connection are investigated.

Natural operators on frame bundles

Krupka, Michal

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Let $F_{1}$ be a natural bundle of order $r_{1}$ ; a basis of the $s$ -th order differential operators of $F_{1}$ with values in $r_{2}$ -th order bundles is an operator $D$ of that type such that any other one is obtained by composing $D$ with a suitable zero-order operator. In this article a basis is found in the following two cases: for $F_{1} = semi F^{r_{1}}$ (semi-holonomic $r_{1}$ -th order frame bundle), $s = 0$ , $r_{2} < r_{1}$ and $F_{1} = F^{1}$ ( $1$ -st order frame bundle), $r_{2} \leq s$ . The author uses here the so-called method of orbit reduction which provides one with a criterion...