The (n+1)-dimensional Einstein-Gauss-Bonnet (EGB) model is considered. For diagonal cosmological metrics the equations of motion are written as a set of Lagrange equations with the Lagrangian containing two “minisuperspace” metrics on R : a 2-metric of pseudo-Euclidean signature and a Finslerian 4-metric that is proportional to n-dimensional Berwald-Moor 4-metric. When a synchronous time variab...

In this paper, as an application of the inverse problem calculus variations, we investigate two compatibility conditions on spherically symmetric Finsler metrics. By making use these conditions, focus our attention Landsberg We classify all manifolds or Berwald types. For higher dimensions $n\geq 3$, prove that: are either Riemannian their geodesic sprays have a specific formula; regular metric...

We investigate the local metrizability of Finsler spaces with $m$-Kropina metric $F = \alpha^{1+m}\beta^{-m}$, where $\beta$ is a closed null 1-form. show that such space Berwald type if and only (pseudo-)Riemannian $\alpha$ 1-form have very specific form in certain coordinates. In particular, when signature Lorentzian, belongs to subclass Kundt class generates corresponding congruence, this ge...

in this paper, we study projective randers change and c-conformal change of p-reduciblemetrics. then we show that every p-reducible generalized landsberg metric of dimension n  2 must be alandsberg metric. this implies that on randers manifolds the notions of generalized landsberg metric andberwald metric are equivalent.

The geodesic graph of Riemannian spaces all geodesics of which are orbits of 1-parameter isometry groups is constructed by J. Szenthe in 1976 and it became a basic tool for studying such spaces, called g.o. spaces. This infinitesimal structure corresponds to the reductive complement m in the case of naturally reductive spaces. The systematic study of Riemannian g.o. spaces is started by O. Kowa...

The aim of the present paper is to provide an intrinsic investigation of the fundamental properties of the most important geometric objects associated with the fundamental linear connections on a Finsler manifold. We introduce and investigate intrinsically the most general properties concerning the torsion tensor fields and the curvature tensor fields associated with a certain regular connectio...

In this paper we investigate the following question: under what conditions can a second-order homogeneous ordinary differential equation (spray) be the geodesic equation of a Finsler space. We show that the EulerLagrange partial differential system on the energy function can be reduced to a first order system on this same function. In this way we are able to give effective necessary and suffici...

New in this issue is the first of what is intended to be a series of ‘Meet the committee’ interviews. e featured interviewee is Jill House, a loyal and long-standing member of the Club and committee, and a singer of remarkable versatility. Other items include reviews of last season’s CMC concerts and of a seminar at the Institute of Musical Resear; articles on two of ’s anniversary compos...