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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. 1. Introduction. The geometry of Finsler manifolds of constant flag curvature is one of the fundamental subjects in Finsler… (More)

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.

- Hani Reda Farran
- 2000

We prove that a Finsler manifold Fm is of constant curvature K = 1 if and only if the unit horizontal Liouville vector field is a Killing vector field on the indicatrix bundle IM of Fm.

- Hani Reda Farran, Shmaryahu Hoz
- Organic letters
- 2008

The equilibrium constant for the electron transfer between SmI2 and substituted benzophenones was determined. The electron transfer reactions are exothermic with DeltaG(eq) ranging from -5.1 to -1.6 kcal/mol. Redox potentials suggest that the electron transfer reactions should be endothermic by ca. 25 kcal/mol, contrary to the experimental observation. It… (More)

- Hani Reda Farran, Shmaryahu Hoz
- Organic letters
- 2008

The reaction of p,p'-dichlorobenzophenone with SmI2 was studied in the presence of variable amounts of HMPA. The electron-transfer step takes place instantaneously. In the presence of excess substrate, the addition of HMPA retarded the rate of coupling to pinacol by a factor of 250. In the presence of an excess of SmI2, the initial rate retardation is… (More)

- Hani Reda Farran, Shmaryahu Hoz
- The Journal of organic chemistry
- 2009

The kinetics of the reaction of several substituted benzophenones with SmI(2) in THF was studied by using stopped flow spectrometry. The electron transfer takes place during the dead time of mixing and for most derivatives it is nearly quantitative. In the presence of an excess of substrate and in the absence of proton donors the dimerization reaction to… (More)

- Hani Reda Farran, A. M. d'Azevedo
- 2007

The range of convex solids studied in ancient Greece includes many interesting geometrical objects besides convex polyhedra, the most familiar examples being the spherical ball, the right circular cylinder and cone, and the double cone. These objects diier from convex solids in general in the simplicity of the topolog-ical and metrical structures of their… (More)

- Hani Reda Farran
- General dentistry
- 2001

Let Fm = (M,F ) be a Finsler manifold and G be the Sasaki– Finsler metric on the slit tangent bundle TM0 = TM {0} of M . We express the scalar curvature ρ̃ of the Riemannian manifold (TM0, G) in terms of some geometrical objects of the Finsler manifold Fm. Then, we find necessary and sufficient conditions for ρ̃ to be a positively homogenenous function of… (More)

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