Vektorinių sluoksniuočių tenzorinės struktūros

• 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

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.