 "Hypercomplex Numbers in geometry and Physics" 2 (10), Vol 5, 2008
j010
Content of Issue is in the theme. The journal in one file is below.
2008jbz
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2008jby
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2008jbx
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The equations of electromagnetism in some special anisotropic spaces
2008jbw | Nicoleta Brinzei & Sergey Siparov // Transilvania University, Brasov, Romania \\
Academy of Civil Aviation, St. Petersburg, Russia; nico.brinzei@rdslink.ro, sergey@siparov.ru
We show that anisotropy of the space naturally leads to new terms in the
expression of Lorentz force, as well as in the expressions of currents.
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On the possibility of the OMPR effect in spaces with Finsler geometry. Part II
2008jbv | Nicoleta Brinzei & Sergey Siparov // Transilvania University, Brasov, Romania \\ Academy of Civil Aviation, St. Petersburg, Russia; nico.brinzei@rdslink.ro, sergey@siparov.ru
As a continuation of the ideas in our last work, we determine a new solution
for Einstein equations in vacuum for linearly approximable anisotropic
perturbations of flat Minkowski and Berwald-Moor Finslerian metric. Also, we
determine the effective expressions for geodesics and eikonal for small
anisotropic perturbations of Minkowski and Berwald-Moor metrics and the
changes of the OMPR conditions for the two models. This could in principle
provide the possibility to study the anisotropic properties of space-time in
our galaxy.
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2008jbu
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2008jbt
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2008jbs
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Spectral properties and applications of the numerical multilinear algebra of m-root structures
2008jbr | V. Balan // University Politehnica of Bucharest, Faculty of Applied Sciences; vbalan@mathem.pub.ro
In the framework of supersymmetric tensors and multivariate homogeneous polynomials, the talk discusses the 4-th order Berwald-Moor case. The eigenvalues and eigenvectors are determined; the recession and degeneracy vectors, characterization points, rank, asymptotic rays, base index, are studied. As well, the best rank-one approximation is derived, relations to the Berwald-Moor poly-angles are pointed out, and a brief outlook on real-world applications is provided.
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2008jbq
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2008jbp
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2008jbo
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2008jbn
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2008jbm
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2008jbl
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2008jbk
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