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1	Reperių sluoksniuočių tiesinių siečių tęsiniai / Extensions of linear connections of bundles of frames Iliukevič, Viktorija 10 June 2004 (has links) NB: santraukoje neįsikelia formulės! The graduation paper examines frame bundles B (Vn ), whose base is n–dimensional differential manifold Vn and the first differential extensions of this stratification J1B(Vn). The bundle of frames is normalized by way of linear connection object F ; provided this object is the linear function of coordinates p , then the linear connection of stratification B(Vn) defines affine connection Vn of reference space. The thesis analyses the overall linear connection and linear co-connection of stratification J1B(Vn) and related basal differentiations. It has been proven that the linear connection of bundle of frames B(Vn) indicates the linear connection and linear co-connection of extended stratification J1B(Vn), the relation between the ratios of the induced connection and the induced co-connection and the representation of the components of curvature objects of the obtained induced linear connection. Mathematics Reperių sluoksniuotė Tiesinės ir afiniosios sietys Glodi daugdara Kreivumo tenzoriai
2	Koreperių sluoksniuočių glodūs tęsiniai / Co-frame Bundle Smooth Extension Markevičienė, Laura 20 June 2005 (has links) In this work is analyzed a co-frame bundle first differential extension . Received local co-ordinates transformation law of the space, constructed this space linear connection and linear co-connection. In this work is proved basis space linear connection‘s object inducts objects linear connection and linear co-connection in space. Founded inducted connection curvature tensors. Mathematics Glodžios daugdaros Kreivumo tenzoriai Co-frame bundle Sluoksniuočių tęsiniai Linear connection Reperių ir koreperių sluoskniuotės Tiesinės sietys Afiniosios sietys Curvatures tensors
3	Vektorinių sluoksniuočių tęsinių sietys / Linear connection of extension of vector bundle Čiburaitė, Irena 23 June 2006 (has links) The vector bundles with the basic structure space with affine connection. It is shown that in the present bundles the linear inducts the affine connection, and the curvature of the objects of the present connection is traced. Having defined the concept of the first differential extension of the vector bundles, an indication is made that the linear connection of vector bundles inducts the elongated linear connection of space and linear co-connection, expression form of the linear co-connection components and their interrelation. There are derived commutative formulas of the inducted connection and forms of its components of curvature objects. Mathematics Vektorinės sluoksniuotės Vector bundle Continuations of vector bundle Curvature tensors of the connections Differentiable manifolds Indukuotosios sietys Tiesinės ir afiniosios sietys Glodžios daugdaros Vektorinių sluoksniuočių tęsiniai Linear and affine connections Siečių kreivumo tenzoriai Inducted connections

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