finsler geometry, hypercomplex numbers and physics
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Basics of Finsler geometry for physicists
b960 | G.I. Garas`ko  // Moscow, TETRU, 2009 (in Russian)

The monograph is dedicated to fundamental ideas, methods and physical applications of Finsler geometry. It has been shown that the physical World corresponds not only to one but to some class of Finsler geometries. The proposed self-efficiency principle of Finsler geometries permits to apply geometrical approach in the field theory in this case gravitation and electromagnetism unite in natural way. For spaces conformally associated with Finsler spaces the notion of conformal potential is introduced that gives possibility to create in arbitrary Finsler space of any dimension the analogue of the complex potential theory on Euclidian plane. The notion of conformal potential is closely connected with the notion of the World function.


English: Russian:
00-gbook.pdf, 1814,651 Kb, PDF

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