scholarly journals Conformal Equitorsion and Concircular Transformations in a Generalized Riemannian Space

Mathematics ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 61
Author(s):  
Ana M. Velimirović
Keyword(s):  
Riemannian Space ◽  
Conformal Transformations ◽  
Generalized Riemannian Space ◽  
Basic Facts ◽  
In The Beginning ◽  
Curvature Tensors

In the beginning, the basic facts about a conformal transformations are exposed and then equitorsion conformal transformations are defined. For every five independent curvature tensors in Generalized Riemannian space, the above cited transformations are investigated and corresponding invariants-5 concircular tensors of concircular transformations are found.

scholarly journals Conformal curvature tensors in a generalized Riemannian space in Eisenhart sense

2020 ◽  
pp. 34-34
Author(s):  
Ana Velimirovic
Keyword(s):  
Curvature Tensor ◽  
Riemannian Space ◽  
Conformal Transformation ◽  
Conformal Curvature ◽  
Conformal Curvature Tensor ◽  
Generalized Riemannian Space ◽  
Curvature Tensors ◽  
Special Case

In the present paper generalizations of conformal curvature tensor from Riemannian space are given for five independent curvature tensors in generalized Riemannian space (GRN ), i.e. when the basic tensor is non-symmetric. In earlier works of S. Mincic and M. Zlatanovic et al a special case has been investigated, that is the case when in the conformal transformation the torsion remains invariant (equitorsion transformation). In the present paper this condition is not supposed and for that reason the results are more general and new.

scholarly journals Infinitesimal deformations of basic tensor in generalized Riemannian space

Filomat ◽  
2007 ◽  
Vol 21 (2) ◽  
pp. 235-242 ◽  
Author(s):  
Ljubica Velimirovic ◽  
S.M. Mincic ◽  
M.S. Stankovic
Keyword(s):  
Riemannian Space ◽  
Lie Derivatives ◽  
Generalized Riemannian Space ◽  
Infinitesimal Deformations ◽  
Basic Facts

At the beginning of the present work the basic facts on generalized Riemannian space (GRn) in the sense of Eisenhart's definition [Eis] and also on infinitesimal deformations of a space are given. We study the Lie derivatives and infinitesimal deformations of basic covariant and contravariant tensor at GRn.

scholarly journals Some relations in the generalized Kählerian spaces of the second kind

Filomat ◽  
2009 ◽  
Vol 23 (2) ◽  
pp. 82-89 ◽  
Author(s):  
Mica Stankovic ◽  
Ljubica Velimirovic ◽  
Milan Zlatanovic
Keyword(s):  
Covariant Derivative ◽  
Riemannian Space ◽  
Complex Structure ◽  
Almost Complex Structure ◽  
Generalized Riemannian Space ◽  
Almost Complex ◽  
Definition Of ◽  
Curvature Tensors

Starting from the definition of generalized Riemannian space (GRN) [1], in which a non-symmetric basic tensor Gij is introduced, in the present paper a generalized K?hlerian space GK2 N of the second kind is defined, as a GRN with almost complex structure Fhi, that is covariantly constant with respect to the second kind of covariant derivative (equation (2.3)). Several theorems are proved. These theorems are generalizations of the corresponding theorems relating to KN. The relations between Fhi and four curvature tensors from GRN are obtained.

scholarly journals ON THEORY OF REGULAR ACCELERATING UNIVERSE IN RIEMANN–CARTAN SPACETIME

2013 ◽  
Vol 28 (21) ◽  
pp. 1350090 ◽  
Author(s):  
A. V. MINKEVICH
Keyword(s):  
Energy Density ◽  
Hubble Parameter ◽  
Scalar Fields ◽  
Cosmological Models ◽  
Accelerating Universe ◽  
Cosmological Expansion ◽  
Isotropic Cosmology ◽  
In The Beginning ◽  
Curvature Tensors

Isotropic cosmology built in the Riemann–Cartan spacetime is investigated. Properties of homogeneous isotropic cosmological models filled with usual gravitating matter and scalar fields are studied in the beginning of cosmological expansion near the limiting energy density. It is shown that cosmological models are regular not only with respect to the Hubble parameter and the energy density but also with respect to the torsion and curvature tensors.

scholarly journals Second type almost geodesic mappings of special class and their invariants

Filomat ◽  
2019 ◽  
Vol 33 (4) ◽  
pp. 1201-1208
Author(s):  
Nenad Vesic ◽  
Mica Stankovic
Keyword(s):  
Riemannian Space ◽  
Special Class ◽  
Generalized Riemannian Space ◽  
Special Case

Invariants of almost geodesic mappings of a generalized Riemannian space are discussed in this paper. As a special case, invariants of equitorsion almost geodesic mappings of this type are discussed in here.

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