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Koreperių sluoksniuočių glodūs tęsiniai / Co-frame Bundle Smooth ExtensionMarkevičienė, Laura 20 June 2005 (has links)
In this work is analyzed a co-frame bundle first differential extension . Received local co-ordinates transformation law of the space, constructed this space linear connection and linear co-connection. In this work is proved basis space linear connection‘s object inducts objects linear connection and linear co-connection in space. Founded inducted connection curvature tensors.
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Vektorinių sluoksniuočių tęsinių sietys / Linear connection of extension of vector bundleČiburaitė, Irena 23 June 2006 (has links)
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.
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