منابع مشابه
Some types of recurrence in Finsler Geometry
The pullback approach to global Finsler geometry is adopted. Three classes of recurrence in Finsler geometry are introduced and investigated: simple recurrence, Ricci recurrence and concircular recurrence. Each of these classes consists of four types of recurrence. The interrelationships between the different types of recurrence are studied. The generalized concircular recurrence, as a new conc...
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Finsler geometry is a natural and fundamental generalization of Riemann geometry. The Finsler structure depends on both coordinates and velocities. It is defined as a function on tangent bundle of a manifold. We use the Bianchi identities satisfied by Chern curvature to set up a gravitation theory in Berwald-Finsler space. The geometric part of the gravitational field equation is nonsymmetric i...
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Kinematics in Finsler space is used to study the propagation of ultra high energy cosmic rays particles through the cosmic microwave background radiation. We find that the GZK threshold is lifted dramatically in Randers-Finsler space. A tiny deformation of spacetime from Minkowskian to Finslerian allows more ultra-high energy cosmic rays particles arrive at the earth. It is suggested that the l...
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Introduction. Several authors have proved theorems of the type: The "structure" of a certain class of transformations defined on a "suitable" space A to a fixed "suitable" space B "determines" the space A. As examples, we have: Banach [3, p. 170, see also 6, 7, 13] i The Banach space of all real, continuous functions defined on a compact metric space A "determines" A. Eidelheit [5, see also 2, ...
متن کاملProjective invariants of an orthogonal ennuple in a Finsler space
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Modeling
سال: 2020
ISSN: 2709-5924
DOI: 10.48185/jmam.v1i1.40