Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Hani Reda Farran"'
Autor:
Aurel Bejancu, Hani Reda Farran
Publikováno v:
Advances in Mathematical Physics, Vol 2016 (2016)
Based on general (1+3) threading of the spacetime (M,g), we obtain a new and simple splitting of both the Einstein field equations (EFE) and the conservation laws in (M,g). As an application, we obtain the splitting of EFE in an almost FLRW universe
Externí odkaz:
https://doaj.org/article/c829d7482a2245b09d8d4811ea4191b2
Autor:
Aurel Bejancu, Hani Reda Farran
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 18, Pp 1155-1165 (2003)
We prove that any simply connected and complete Riemannian manifold, on which a Randers metric of positive constant flag curvature exists, must be diffeomorphic to an odd-dimensional sphere, provided a certain 1-form vanishes on it.
Externí odkaz:
https://doaj.org/article/ba76773837e245bd87c49770781943bc
Autor:
Aurel Bejancu, Hani Reda Farran
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 22, Iss 3, Pp 637-642 (1999)
We define the Liouville distribution on the tangent bundle of a pseudo-Finsler manifold and prove that it is integrable. Also, we find geometric properties of both leaves of Liouville distribution and the vertical distribution.
Externí odkaz:
https://doaj.org/article/05ba4eb82dda4c2c9183eb87dd90a341
Splitting of the Einstein Field Equations with Respect to the $(1+1+3)$ Threading of a $5D$ Universe
Autor:
Aurel Bejancu, Hani Reda Farran
Publikováno v:
Volume: 14, Issue: 1 66-84
International Electronic Journal of Geometry
International Electronic Journal of Geometry
We obtain a new and simple splitting of Einstein field equations with respect to the $(1+1+3)$ threading of a $5D$ universe $(\bar{M}, \bar{g})$. The study is based on the spatial tensor fields and on the Riemannian spatial connection, which behave a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8cc5c81b7c70bd43421c600edd3630e9
https://doi.org/10.36890/iejg.902162
https://doi.org/10.36890/iejg.902162
Autor:
Hani Reda Farran, Aurel Bejancu
Publikováno v:
Advances in Mathematical Physics. 2016:1-15
Based on general (1+3) threading of the spacetime (M,g), we obtain a new and simple splitting of both the Einstein field equations (EFE) and the conservation laws in (M,g). As an application, we obtain the splitting of EFE in an almost FLRW universe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f26f60bae9e4d61546a922194fe0f9c9
https://doi.org/10.1155/2016/3645129
https://doi.org/10.1155/2016/3645129
Publikováno v:
Volume: 7, Issue: 1 108-125
International Electronic Journal of Geometry
International Electronic Journal of Geometry
Let Fm = (M;F ) be a Finsler submanifold of a Finsler manifold em+p = (f M; e F ). By using the normal curvature vector eld of Fm and the Berwald connections on both F m and e m+p , we obtain the structure equations for the immersion of F m into e m+
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::797e25ef617ff62e95d4c8b713c2e802
https://doi.org/10.36890/iejg.594500
https://doi.org/10.36890/iejg.594500
Autor:
Hani Reda Farran, Aurel Bejancu
Publikováno v:
Annals of the Alexandru Ioan Cuza University - Mathematics. 59:43-72
We prove the existence and uniqueness of a torsion-free and h-metric linear connection ▽(CR connection) on the horizontal distribution of a CR manifold M. Then we define the CR sectional curvature of M and obtain a characterization of the CR space
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9994e472f0a8b53424228028bf1a92d9
https://doi.org/10.2478/v10157-012-0021-z
https://doi.org/10.2478/v10157-012-0021-z
Autor:
Aurel Bejancu, Hani Reda Farran
Publikováno v:
General Relativity and Gravitation. 45:449-463
The purpose of the paper is to define and study, in the presence of the electromagnetic potentials, the fifth force induced by the fifth dimension in the \(4D\) physics. A \(4D\) tensor calculus and the Riemannian horizontal connection on a \(5D\) ge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25751479240af5d78c7211e60886366d
https://doi.org/10.1007/s10714-012-1482-9
https://doi.org/10.1007/s10714-012-1482-9
Autor:
Hani Reda Farran, Aurel Bejancu
Publikováno v:
Proceedings Mathematical Sciences. 118:99-113
We show that the Vranceanu connection which was initially introduced on non-holonomic manifolds can be used to study the geometry of foliated manifolds. We prove that a foliation is totally geodesic with bundle-like metric if and only if this connect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8596b5f2e8172973b2604b967362ff20
https://doi.org/10.1007/s12044-008-0006-8
https://doi.org/10.1007/s12044-008-0006-8
Autor:
Hani Reda Farran, Aurel Bejancu
Publikováno v:
Reports on Mathematical Physics. 58:131-146
A new approach for the study of geometry of Finsler manifolds is proposed. Let F 'n = (M, F) he an m-dimensional Finsler manifold and G be the Sasaki-Finsler metric on TM ° = TM\{0}. We exploit many natural foliations of (TM °, G) by showing that t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fb510ba25acb0c805c318bf9b5ba9177
https://doi.org/10.1016/s0034-4877(06)80044-3
https://doi.org/10.1016/s0034-4877(06)80044-3