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Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1439

Title: Conjugate Compositions in Even-Dimensional Affinely Connected Spaces without a Torsion
Authors: Zlatanov, Georgi
Tsareva, Bistra
Keywords: Affinely Connected Space
Net
Composition
Conjugate
Chebyshevian
Cartesian
Geodesic Compositions
Issue Date: 22-Nov-2010
Publisher: University Press "Paisii Hilendarski", Plovdiv
Abstract: Let in even-dimensional a±nely connected space without a torsion A2m be given a composition Xm£Xm by the affinor a¯ ®. The affinor b¯ ®, determined with the help of the eigen-vectors of the matrix (a¯ ®), de¯nes the second composition Ym £ Y m. Conjugate compositions are introduced by the condition: the a±nors of any of both compositions transform the vectors from the one position of the composition, generated by the other a±nor, in the vectors from the another its position. It is proved that the compositions de¯ne by a±nors a¯ ® and b¯ ® are conjugate. It is proved also that if the composition Xm£Xm is Cartesian and composition Ym£Y m is Cartesian or chebyshevian, or geodesic than the space A2m is affine.
URI: http://hdl.handle.net/10525/1439
ISBN: 9789544236489
Appears in Collections:REMIA 2010

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