Brief Report on the First International Scientific Workshop “Geometry of Finsler Spaces with the Berwald-Moor’s Metric”
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The first international scientific workshop took place on October 15-22, 2005 in Cairo, Egypt. It was organized by the “Finsler Prize” noncommercial foundation for the development of the Finsler geometry research. It was also supported by Moscow Bauman State University (rector I.B. Fedorov, head of the Physics department A.N. Morozov, fellows T.M. Gladysheva, V.O. Gladyshev, D.G. Pavlov). This workshop was a logical continuation of the work of the corresponding Section of the International Conference “Physical Interpretations of the Relativity Theory” (Moscow, 2005). The participants of the workshop were scientists from Russia, Romania, China and Great Britain.

Scientific program

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The Program of the first international scientific workshop “Geometry of Finsler spaces with the Berwald-Moore metric”
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15.10
Arriving participants, accommodating, an excursion in the Cairo Museum.

16.10
8⁰⁰ – 9⁰⁰   Breakfast
9⁰⁰ – 14⁰⁰   Excursion to Pyramids in Giza.
14⁰⁰ – 15⁰⁰   Launch
15⁰⁰ – 15³⁰   Opening the workshop
15³⁰ – 16³⁰   Pavlov D., Appearing of anisotropic properties of Finsler spaces from a viewpoint of an observer.
16³⁰ – 17³⁰   Garas'ko G., Connection of elementary generalized-conformal transformations with generalized-analytical functions in a polynumbers space.
17³⁰ – 18³⁰   Panchelyuga V., Shnol S., Influence of rapidly rotating massive body to form function of α-decay velocity: experimental research.
19⁰⁰   Banquet

17.10
8⁰⁰ – 9⁰⁰   Breakfast
9⁰⁰ – 14⁰⁰   Excursion to Pyramids in Dashura.
14⁰⁰ – 15⁰⁰   Launch
15⁰⁰ – 16⁰⁰ Asanov G. Full anisotropic Finsler metric function. Relativistic aspects
16⁰⁰ – 17⁰⁰ Atanasiu G., About the prolongations of a Finsler metric to the tangent bundle t^km, k > 1, of the higher order accelerations.
17⁰⁰ – 18⁰⁰ Balan V., Brinzei N., Berwald-Moore type (h,v)-metric physical models.

18.10
8⁰⁰ – 9⁰⁰   Breakfast
9⁰⁰ – 14⁰⁰   Excursion to Giza Pyramid in Medum
14⁰⁰ – 15⁰⁰   Launch
15⁰⁰ – 16⁰⁰   Bogoslovsky G., 4-momentum of a particle and mass shell equation in an entirely anisotropic space-time.
16⁰⁰ – 17⁰⁰   Siparov S., On the formalism of physical theories.
17⁰⁰ – 18⁰⁰   Mo X., Invariant Berwald-(Moore)'s metrics on a Lie group.

19.10
8⁰⁰ – 9⁰⁰   Breakfast
9⁰⁰ – 14⁰⁰   Excursion to Pyramids in Saqqara
14⁰⁰ – 15⁰⁰   Launch
15⁰⁰ – 16⁰⁰   Lebedev S., The generalized Finslerian metric tensors.
16⁰⁰ – 17⁰⁰ Atanasiu G., Balan V. and Neagu M., The 4-poliforms of momenta K(p) = ⁴Sqrt(p₁p₂p₃p₄) and its applications in the Hamilton geometry.
17⁰⁰ – 18⁰⁰ Paun M., Invariant Finsler frames for Berwald-Moore metric.
19⁰⁰   Departure by train for participants, who wished to visit Luxor.
(No paid by Organizing Committee)

20.10
8⁰⁰ – 21⁰⁰   Visiting Cathedrals in Luxor and Karnak. Return to Cairo
For other participants – spare time.

21.10
8⁰⁰ – 9⁰⁰   Breakfast
9⁰⁰ – 14⁰⁰   Excursion to Pyramids in Abysir
14⁰⁰ – 15⁰⁰   Launch
15⁰⁰ – 16⁰⁰   Chernov V., On connection of algebraic and metric properties of polynumbers algebras.
16⁰⁰ – 17⁰⁰ Atanasiu G., Balan V., The 2-cotangent bundle with the Berwald-Moor's metric.
17⁰⁰ – 18⁰⁰ Atanasiu G., Brinzei N., The Berwald-Moor's metric in the tangent bundle of the second order.
19³⁰   Banquet

22.10
Departure

The Program of Seminar in file

Announcement of Seminar Cairo-2005
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Finsler geometry is a natural extension of Riemann geometry and keeps its true potential in itself. The formal description of Finsler geometry is quite complicated. Therefore, it is considered as an object of abstract mathematical investigations. Nevertheless, there are solid reasons to think that even the simplest spaces with non-quadratic types of metrics, which are very close to well-known Euclidian and pseudo-Euclidian spaces, directly relate to the fundamental problems of theoretical physics.

The main topic of discussions of the international workshop is the Finsler geometry with the Berwald – Moore’s metric. The choice of this metric function is due to the following reasons.

PIRT-2005
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The international conference “Physical Interpretations of the Relativistic Theory”(PIRT-2005) is to be held on 4-7 July in the Moscow State Technical University n. a. N. E. Bauman (usually it is held in the London Imperial College). In the framework of the conference the section of the Finsler generalization of the relativistic theory is to be organized. The lots of Russian and some foreign specialists on the Finsler geometry attended at the section.

The claims for participating the section’s job should be sent in common order to the conference’s web-site: PIRT-2005 If there are any specific problems, demanding the solution in the frameworks of the section, write to: hypercomplex@mail.ru

One of the section’s aims was to make the preparations for the The first international scientific workshop “Geometry of Finsler spaces with the Berwald-Moore’s metric” (Cairo, Egypt, 15-22 October 2005). More detailed information on it is given on the “Conferences” page.

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