On m-th root metrics with special curvature properties

A Tayebi, B Najafi - Comptes Rendus …, 2011 - comptes-rendus.academie-sciences …
Dans cette Note, nous montrons que toutes les métriques de Finsler racines m-ièmes ayant
une courbure de Landsberg isotrope se réduisent à une métrique de Landsberg. Nous …

[图书][B] Jet single-time Lagrange geometry and its applications

V Balan, M Neagu - 2011 - books.google.com
Develops the theory of jet single-time Lagrange geometry and presents modern-day
applications Jet Single-Time Lagrange Geometry and Its Applications guides readers …

[PDF][PDF] The spectral theory of tensors (rough version)

L Qi - arXiv preprint arXiv:1201.3424, 2012 - arxiv.org
It is possible that the ideas of eigenvalues of tensors had been raised earlier. However, it
was in 2005, the papers of Lim and Qi initiated the rapid developments of the spectral theory …

Geometrical models of the locally anisotropic space-time

V Balan, GY Bogoslovsky, SS Kokarev… - arXiv preprint arXiv …, 2011 - arxiv.org
Along with the construction of non-Lorentz-invariant effective field theories, recent studies
which are based on geometric models of Finsler space-time become more and more …

E-characteristic polynomials of tensors

AM Li, L Qi, B Zhang - arXiv preprint arXiv:1208.1607, 2012 - arxiv.org
In this paper, we show that the coefficients of the E-characteristic polynomial of a tensor are
orthonormal invariants of that tensor. When the dimension is 2, some simplified formulas of …

[PDF][PDF] Applications of resultants in the spectral m-root framework

V Balan, N Perminov - Applied Sciences, 2010 - emis.de
The Z− eigenvalues, E− eigenvalues and the corresponding eigenvectors for the Berwald-
Moor associated multilinear form in the case m= n= 3, are computed by means of applying …

[HTML][HTML] WITHDRAWN: Spectra of symmetric tensors and m-root Finsler models

V Balan - Linear algebra and its applications, 2012 - Elsevier
The present work studies spectral properties of multilinear forms attached to the Berwald-
Moor, Chernov and Bogoslovsky locally Minkowski Finsler geometric structures of m-root …

On the theory of -th root Finsler metrics

A Tayebi - Tbilisi Mathematical Journal, 2019 - projecteuclid.org
In this paper, we consider exponential change of Finsler metrics. First, we find a condition
under which the exponential change of a Finsler metric is projectively related to it. Then we …

The quantum eigenvalue problem and Z-eigenvalues of tensors

X Zhang, L Qi - arXiv preprint arXiv:1205.1342, 2012 - arxiv.org
The quantum eigenvalue problem arises in the study of the geometric measure of the
quantum entanglement. In this paper, we convert the quantum eigenvalue problem to the Z …

[PDF][PDF] On n-ary operations and their applications.

AM Gal'mak, V Balan, GN Vorobiev, IR Nicola - Applied Sciences, 2011 - researchgate.net
The authors extend previous results regarding the properties of certain n-ary operations
provided by special structures (groupoid, semigroup) and investigate properties, as semi …