Vektorinių sluoksniuočių tęsinių sietys

• Main Author: Čiburaitė, Irena
• Other Authors: Šinkūnas, Juozas
• Format: Dissertation
• Language: Lithuanian
• Published: Lithuanian Academic Libraries Network (LABT) 2006
• Subjects: 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
• Online Access: http://vddb.library.lt/fedora/get/LT-eLABa-0001:E.02~2006~D_20060623_205957-33531/DS.005.0.02.ETD

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.