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Balan, Vladimir Overview. Most widely held works by Vladimir Balan.
Jet single-time Lagrange geometry and its applications by Vladimir Balan 6 editions published in in English and held by WorldCat member libraries worldwide “This book describes the main geometrical and physical aspects that differentiate two geometrical theories: An emphasis on the jet transformation group of the first approach is more general and natural than the transformation group used in the second approach, mainly due to the fact that the last approach ignores temporal reparametrizations.
In addition, the presented transformation group is appropriate for the construction of corresponding relativistic time-dependent Lagrangian geometrical field theories gravitational and electromagnetic. The developed theory is further illustrated with numerous applications in mathematics, theoretical physics including electrodynamics, relativity, and electromagnetismatmospheric physics, economics, and theoretical biology.
The geometrical Maxwell and Einstein equations presented in the book naturally generalize the already classical Maxwell and Einstein equations from the Miron-Anastasiei theory. The extended geometrical Einstein equations that govern the jet single-time Lagrange gravitational theory are canonical, and the electromagnetic d-tensor is produced from the metrical deflection d-tensors, all preceding entities being derived only from the given jet Lagrangian via its attached Cartan canonical Gamma-linear connection.
The basic elements of the Kosambi-Cartan-Chern theory on the 1-jet space that extend the KCC tangent space approach are featured at the end of the book. Chapters are written in an introductory and gradual manner and contain numerous examples and open problems.
An index of notions makes the main concepts of the theory and of the applications easy to locate” Elementary particles with internal structure in external fields by V. V Kisel 3 editions published in in English and held by 29 WorldCat rezolvatf libraries worldwide. Spinor structures in geometry and physics 2 editions published in in English and held by 24 WorldCat member libraries worldwide This book is devoted to investigating the spinor structures in particle physics and in polarization optics.
In fact, it consists of two parts joined by the question: Which are the manifestations of spinor structures in different branches of physics. It is based on original research. The main idea is the statement reozlvate the physical understanding of geometry should be based on physical field theories.
The book contains numerous topics with the accent on field theory, quantum mechanics and polarization optics of the light, and on the spinor approach.
The Ralph Gregory Beil memorial volume: G Beil Book 1 edition published in in English and held by 4 WorldCat member libraries worldwide. Tangent structures in geometry linuara their applications by Vladimir Balan Book 1 edition published in in English and held by 3 WorldCat member libraries worldwide. Proceedings of the 4th International Colloquium “Mathematics in engineering and numerical physics”: April, [Bucharest] ; mathematics sections by International Colloquium of Mathematics in Engineering and Numerical Physics Book 1 edition published in in English and held by 2 WorldCat member libraries worldwide.
Algebra liniara, geometrie analitica by Vladimir Balan Book 2 editions published in in Romanian and held by 2 WorldCat member libraries worldwide. Teste de matematica Book 1 edition published in in Romanian and held by 2 WorldCat member libraries worldwide. English 18 Romanian Project Page Feedback Known Problems.