F.E.R.T. Conferences

Introduction

Note: Links to Videos of 2005 and 2006 and 2008 Cairo and 2007 Moscow F.E.R.T. (Finsler extensions of Relativity Theory) Conferences will be installed later.

See Following Links :

For Information about The Institute and Recent Conferences on Finsler Approaches to General
Relativity and Cosmology See : Hypercomplex.ru

Also see :

Photos and brief report from Conference “Cairo-2006”
Fotos from Conference “Cairo-2006”
Cairo-2006

International Scientific Conference
“Finsler extensions
of Relativity Theory”
4-10 November 2006 Cairo, Egypt

The aim of the Cairo Meeting was to further examine and explore a number of topics which were studied by those mathematicians who took part in the Finsler Geometry Section of the Moscow Conference on Physical Interpretations of Relativity Theory in July 2005 and which formed the subject of the 1st International Workshop on Finsler Geometry which took place in Cairo in October 2005.The steady growth of interest in the ideas and the program of Finsler Geometry has become increasingly apparent in recent years, and was reflected in the attendance at these two meetings.The main topics covered in the 2006 International Conference were as follows:

1. The general philosophical and mathematical principles underlying the research programme for Finsler extensions of Relativity Theory.

2. Different Finsler metric functions and the geometries of their corresponding spaces.

3. Spaces whose metric function is a symmetric polynomial depending on three variables of third order ( the Berwald – Moore metric ).

4. Spaces whose metric function is a symmetric polynomial depending on four variables of the third order ( Chernov spaces ).

5. Spaces whose metric function is a symmetric polynomial depending on four variables of the fourth order ( four-dimensional Berwald – Moore spaces).

6. The issues involved in the extension and generalization of the principal geometric and physical structures associated with the spaces of classical and relativistic physics (e.g of Riemannian Geometry) to the setting of Finsler spaces.

7. Models of the observer’s space-time in Finsler extensions of Special Relativity Theory.

8. Multilinear symmetric forms of vectors as Finsler extensions of the scalar product.

9. Study of the main invariants of Finsler spaces.

10. Linear Finsler spaces and their connection with Hypercomplex number fields.

11. The Symmetries of Finsler spaces.

12. Isometric, conformal and extended conformal transformations of Finsler spaces.

13. Finsler spaces and operations of n-th order.

14. Experimental investigations and astrophysical observations designed to detect possible evidence for the anisotropy of real space-time.
The Talks at the 2006 Conference focussed particular attention on Geometries whose metric functions are symmetric polynomials. This focus is connected with the fact that the quadratic form of the space-time of Special Relativity is a symmetric polynomial dependent on four second-order variables. As was shown in work presented by a number of mathematicians at the 2005 Workshop, there are striking correspondences, involving passage to the limit, between such Finsler Geometries and the spaces of classical and relativistic physics.

A Complete set of video recordings of the talks at both the 2005 and 2006 Workshops will be placed on this Site in due course

In addition to the Scientific proceedings of the 2006 Conference, an extensive cultural program was provided for participants as in previous years.. Amongst the excursions were guided visits to the Pyramid complexes of the Giza Plateau, Dashura, Medum and Saqqara, and the Museum of Egyptian Antiquities in Cairo, which houses incomparably the world’s greatest collection of Egyptian Antiquities, and to the Coptic Quarter of Cairo. There were further optional excursions to the Red Sea, and to a number of ancient temples. There were also opportunities tio attend a number of evening talks, outside the oficial Conference programme, about Ancient Egyptian mathematics, religion and mythology, and to see films about Ancient Egypt

Councils
Conference Speakers
Theses
See PDF-file below
English: Russian:
thesises.pdf, 353,405 Kb, PDF
Program of the Conference

2) For General Background Information on Finsler Geometry :

Website for Finsler Geometry
What is Finsler Geometry · People · Activities · Books; Pictures of Riemann, Minkowski, Finsler, Berwald, Douglas, Weyl and others …

The Finsler Geometry Newsletter – Home Page
Site dedicated to the interactions between convex, integral, metric, and symplectic geometry.

The Finsler Geometry Newsletter – Introduction to Finsler Geometry
This book is not representative of the great body of work in Finsler geometry in the past 50 years and readers looking for tensor calculations will be much …

RIEMANN-FINSLER GEOMETRY
Riemann-Finsler geometry is a subject that concerns manifolds with Finsler metrics, including Riemannian metrics. It has applications in many fields of the …

AN INTRODUCTION TO FINSLER GEOMETRY
This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle. …

A brief introduction to Finsler geometry
Here you can find a a short introduction to Finsler geometry. Special emphasis is put on the Legendre transformation that connects Finsler geometry with …

Mathematical Sciences Research Institute – Finsler Geometry
Finsler geometry uses families of Minkowski norms, instead of families of inner products, to describe geometry. This situation is entirely analogous to how …

Finsler manifold – Wikipedia, the free encyclopedia
In mathematics, particularly differential geometry, a Finsler manifold is a differentiable manifold M with a Banach norm defined over each tangent space …

Differential geometry and topology – Wikipedia, the free encyclopedia
Finsler geometry has the Finsler manifold as the main object of study — this is a differential manifold with a Finsler metric, i.e. a Banach norm defined on …

PlanetMath: Finsler geometry
This is version 4 of Finsler geometry, born on 2005-02-18, modified 2006-07-27.

For Information and Regsitration for the Forthcoming 2008 F.E.R.T. Conference in Egypt see below

4th International Conference FERT- 2008
FINSLER EXTENSIONS OF RELATIVITY THEORY
November, 2-8, 2008
Cairo, Egypt

This Conference continues the ongoing series of conferences, held every two years since 2005, and is devoted to studies of the evidence for Global Cosmological Anisotropy and to mathematical research on Finsler Extensions of Relativity Theory.

The General Theory of Relativity is based on the assumption that physical space is isotropic – the Minkowski metric (a basic concept of this theory) satisfies the assumption. Recent evidence suggests the possibility that the space of our astrophysical observations possesses anisotropy at the cosmological scale. If these suggestions are borne out, Minkowski Geometry, Pseudo-Riemannian Geometry of General Relativity Theory which is based on it, will need to be modified. The Finslerian extension and modification of Riemannian Geometry embodies a mathematical framework for modelling space-time which can naturally take account of such postulated fundamental anisotropic properties.

The Scientific Programme of the Conference will include the following topics

1. Experimental research and astrophysical observations suggesting an essential anisotropy of real space-time.

2. Physical theories which take such global space-time anisotropy into account.

3. Finsler geometry, employed for the description of cosmological models and associated physical phenomena.

4. Hypercomplex algebraic systems in geometry and physics.

5. Algebraic fractals in multidimensional spaces.

6. Symmetry in algebra, geometry and physics.

7. The philosophical basis for the “unreasonable effectiveness” of mathematics in physics.

International Advisory Committee

Gheorghe Atanasiu (“Transilvania” University of Brasov, Romania)
Vladimir Balan (University Politehnica of Bucharest, Romania)
Georgy Y. Bogoslovsky (Moscow State University, Russia)
Rustam Ibadov (Samarkand State University, Uzbekistan)
Vladimir G. Kadyshevsky (JINR, Dubna, Russia)
Jutta Kunz (Carl von Ossietzky University Oldenburg, Germany)
Viktor A. Matveev (Institute for Nuclear Research, Moscow, Russia)
Alexandr P. Yefremov (Peoples’ Friendship University of Russia, Moscow, Russia)

Organizing Committee

Dmitry G. Pavlov (Chairman)
A.A. Eliovich,
T.M. Gladysheva,
V.O. Gladyshev,
A.N. Morozov,
B.P. Nazarenko,
M. Wright

Archive for Mathematical Sciences & Philosophy

F.E.R.T. Conferences

Introduction

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