Vektorinių sluoksniuočių tenzorinės struktūros

Vektorinių sluoksniuočių tenzorinės struktūros

Vector bundles , which basic space is smooth n-dimensional space with affine connection, are exploring in this paper. It was proved that linear connection of such bundle defines affine connection, there were found curvature objects of these connections. It was also proved that linear connection indu...

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Bibliographic Details
Main Author: Loginova, Galina
Other Authors: Baliukonytė, Stasė
Format: Dissertation
Language:Lithuanian
Published: Lithuanian Academic Libraries Network (LABT) 2006
Subjects:
Mathematics
Beveik sandaugos struktūros
Linear and affine connections
Almost product’s structure
Integruojamumo sąlygos
Vektorinė sluoksniuotė
Smooth manifold
Tiesinė ir afinioji sietys
Asocijuotos sietys
Glodi daugdara
Integrable conditions
Vector bundle
Associated connections
Online Access:http://vddb.library.lt/fedora/get/LT-eLABa-0001:E.02~2006~D_20060622_130114-46322/DS.005.0.02.ETD
Description
Summary:Vector bundles , which basic space is smooth n-dimensional space with affine connection, are exploring in this paper. It was proved that linear connection of such bundle defines affine connection, there were found curvature objects of these connections. It was also proved that linear connection induces inside almost product’s structure in bundle , there were explored integrable conditions of this structure and defined criterions on affine connections that are associated with these structures.

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