Invariants of Special Second-Type Almost Geodesic Mappings of Generalized Riemannian Space

2018 ◽  
Vol 15 (2) ◽  
Author(s):  
Nenad O. Vesić ◽  
Mića S. Stanković
Keyword(s):  
Riemannian Space ◽  
Generalized Riemannian Space

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 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.

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 Certain properties of generalized Einstein spaces

Filomat ◽  
2018 ◽  
Vol 32 (13) ◽  
pp. 4803-4810 ◽  
Author(s):  
Vladislava Stankovic
Keyword(s):  
Riemannian Space ◽  
Generalized Riemannian Space ◽  
Einstein Spaces

In the present paper are introduced generalized Einstein spaces. Einstein type tensors are represented in the generalized Einstein spaces. Some relations of Einstein type tensors of the first and the second kind in the generalized Riemannian space are obtained. Also, geodesic mappings of T-connected generalized Einstein spaces onto Riemannian space are considered.

scholarly journals Cosmological meaning of geometric curvatures

Filomat ◽  
2020 ◽  
Vol 34 (12) ◽  
pp. 4107-4121
Author(s):  
Nenad Vesic
Keyword(s):  
Energy Density ◽  
Physical Meaning ◽  
Riemannian Space ◽  
Energy Momentum Tensor ◽  
State Parameter ◽  
Momentum Tensor ◽  
The State ◽  
Generalized Riemannian Space ◽  
Riemannian Spaces

In this paper, we analyzed the physical meaning of scalar curvatures for a generalized Riemannian space. It is developed the Madsen?s formulae for pressures and energy-densities with respect to the corresponding energy-momentum tensors. After that, the energy-momentum tensors, pressures, energy-densities and state-parameters are analyzed with respect to different concepts of generalized Riemannian spaces. At the end of this paper, linearities of the energy-momentum tensor, pressure, energy-density and the state-parameter are examined.

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.

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