Canonical-type connection on almost contact manifolds with B-metric

The canonical-type connection on the almost contact manifolds with B-metric is constructed. It is proved that its torsion is invariant with respect to a subgroup of the general conformal transformations of the almost contact B-metric structure. The basic classes of the considered manifolds are characterized in terms of the torsion of the canonical-type connection.Comment: 11 pages, The final publication is available at http://www.springerlink.co

Canonical connection on a class of Riemannian almost product manifolds

The canonical connection on a Riemannian almost product manifold is an analogue to the Hermitian connection on an almost Hermitian manifold. In this paper we consider the canonical connection on a class of Riemannian almost product manifolds with non-integrable almost product structure. We construct and characterize an example by a Lie group.Comment: 19 pages, some corrections in the example; J. Geom. (2012

Cognitive Operations in Process of Secondary Text Production in Fanfiction Genre

The question of text perception in a foreign language is considered. Cognitive operations to build a text projection used by recipients who are non-native speakers, as well as their ways to objectify the former in their own secondary texts of the fanfiction genre are presented and described. The article is relevant due to the need to research the processes of reception and production of a coherent text both in native and foreign languages, and to create a cognitive model of the text projection building process. Particular attention is paid to the correlations between the strategies and tactics of forming a projection of a text in a foreign language by the recipient with the types of cognitive operation used to interpret new knowledge (preservation, modeling, transfiguration). Data are given on the implementation of cognitive operations on all levels of the perceived text (macro-, schematic, stylistic level). Definitions are provided for the specific tactics used by recipients (non-native speakers) in the process of creating their own texts in a foreign language on various levels (plot preservation tactics, tropes imitation tactics, keyword transplantation tactics, etc.). The results of the study can be applied both in the field of language sciences (psycholinguistics, linguistics) and in the field of foreign language teaching methods to find ways to effectively develop reading and writing skills in language learners

A classification of the torsion tensors on almost contact manifolds with B-metric

The space of the torsion (0,3)-tensors of the linear connections on almost contact manifolds with B-metric is decomposed in 15 orthogonal and invariant subspaces with respect to the action of the structure group. Three known connections, preserving the structure, are characterized regarding this classification.Comment: 17 pages, exposition clarified, references adde