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Reperių sluoksniuočių tiesinių siečių tęsiniai / Extensions of linear connections of bundles of frames

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.

Identiferoai:union.ndltd.org:LABT_ETD/oai:elaba.lt:LT-eLABa-0001:E.02~2004~D_20040610_180306-12245
Date10 June 2004
CreatorsIliukevič, Viktorija
ContributorsŠinkūnas, Juozas, Mazėtis, Edmundas, Januškevičius, Romanas, Sičiūnienė, Viktorija, Vosylius, Romualdas, Vilnius Pedagogical University
PublisherLithuanian Academic Libraries Network (LABT), Vilnius Pedagogical University
Source SetsLithuanian ETD submission system
LanguageLithuanian
Detected LanguageEnglish
TypeMaster thesis
Formatapplication/pdf
Sourcehttp://vddb.library.lt/obj/LT-eLABa-0001:E.02~2004~D_20040610_180306-12245
RightsUnrestricted

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