Reperių sluoksniuočių tiesinių siečių tęsiniai

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...

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Bibliographic Details
Main Author: Iliukevič, Viktorija
Other Authors: Šinkūnas, Juozas
Format: Dissertation
Language:Lithuanian
Published: Lithuanian Academic Libraries Network (LABT) 2004
Subjects:
Online Access:http://vddb.library.lt/fedora/get/LT-eLABa-0001:E.02~2004~D_20040610_180306-12245/DS.005.0.01.ETD
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Summary: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.