Elena Popovici

• Dr.
• Transylvania University of Brașov

We investigate the gravitational field of a kinetic gas beyond its usual derivation from the second moment of the one-particle distribution function (1PDF), that serves as energy-momentum tensor in the Einstein equations. This standard procedure raises the question why the other moments of the 1PDF (which are needed to fully characterize the kinema...

We locally classify all possible cosmological homogeneous and isotropic Landsberg-type Finsler structures, in 4-dimensions. Among them, we identify viable non-stationary Finsler spacetimes, i.e. those geometries leading to a physical causal structure and a dynamical universe. Noting that any non-stationary Landsberg metric must be actually non-Berw...

For the general class of pseudo-Finsler spaces with (α,β)-metrics, we establish necessary and sufficient conditions such that these admit a Finsler spacetime structure. This means that the fundamental tensor has a Lorentzian signature on a conic subbundle of the tangent bundle and thus the existence of a cone of future-pointing time-like vectors is...

For the general class of pseudo-Finsler spaces with $(\alpha,\beta)$-metrics, we establish necessary and sufficient conditions such that these admit a Finsler spacetime structure. This means that the fundamental tensor has Lorentzian signature on a conic subbundle of the tangent bundle and thus the existence of a cone of future pointing timelike ve...

By regarding the complex indicatrix as an embedded CR-hypersurface of the holomorphic tangent bundle in a fixed point, we analyze some aspects of the relations between its CR structure and the considered contact structure. Moreover, using the classification of the almost contact metric structures associated with a strongly pseudo-convex CR-structur...

Following the study on volume of indicatrices in a real Finsler space, in this paper we are investigating some volume properties of the indicatrix considered in an arbitrary fixed point of a complex Finsler manifold. Since for each point of a complex Finsler space the indicatrix is an embedded CR-hypersurface of the punctured holomorphic tangent bu...

In this paper we study the complex indicatrix associated to a complex Finsler space as an embedded CR - hypersurface of the holomorphic tangent bundle, considered in a fixed point. Following the study of CR - submanifolds of a Kähler manifold, there are investigated some properties of the complex indicatrix as a real submanifold of codimension one,...

Continuing the study of the complex indicatrix I z M , approached as an embedded CR hypersurface on the punctual holomorphic tangent bundle of a complex Finsler space, we study in this paper the almost contact structures that can be introduced on I z M. The Levi form and characteristic direction of the complex indicatrix are given and the CR distri...

In this paper is studied the di�erential geometry of the complex indicatrix, which is approached as an embedded CR hypersurface of the punctual holomorphic tangent bundle of a complex Finsler space. Following the study of CR submanifolds of a Kahler manifold and using the submanifold formulae there are investigated some properties of the complex i...

Following the study of the indicatrix of a real Finsler space, in this paper there are investigated some properties of the complex indicatrix of a complex Finsler space, both in a fixed point and for the indicatrix bundle. In a fixed point z 0 ∈ M , the associated indicatrix I z0 M is a convex hypersurface in the holomorphic tangent space T z0 M an...

Following the study of real hypersurfaces of Finsler spaces, in this paper we analyse the holomorphic hypersurfaces associated to a complex Finsler space (M, F) as holomorphic subspaces of complex codimension one. In this sense the induced complex Finsler metric, the induced nonlinear connection and, respectively, the linear connection and the equa...

In this paper we extend the study of the indicatrix of a complex Finsler space initiated in G. Munteanu [Bull. Transilv. Univ. Brasov, Ser. III, Math. Inform. Phys. 3(52), 53–66 (2010; Zbl 1224.53044); Bull. Transilv. Univ. Brasov, Ser. III, Math. Inform. Phys. 1(50), 253–262 (2008; Zbl 1289.53144)]. The equations that can be introduced on the indi...

Following the study of the indicatrix of a complex Finsler space (M;L) initiated in [10], in this paper an adapted frame is introduced on the complexifi�ed of the real tangent bundle of the complex Finsler manifold in a manner that makes it easier to study the properties of the indicatrix bundle. The indicatrix IM is studied as a hypersurface of th...

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