I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2008, VOLUME 14, NUMBER 2, PAGES 29-67
O. O. Belova
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In the present paper we study connections in the fiberings associated
with the Grassmann manifold and the space of the centered planes.
The work is related to the studies in differential geometry.
In the paper, we use the method of continuations and scopes of
G. F. Laptev which generalizes the moving frame method
and the exterior forms method of Cartan; the method depends on
calculation of exterior differential forms.
In the paper, we develop a new method of research in Grassman
manifolds and some generalization of the method which includes the
theory of the induced connections of the spaces of planes and centered
planes in the
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Last modified: December 18, 2008