(Ebook) Handbook of Finsler Geometry: Volume 2 by Peter L. Antonelli ISBN 9781402015564, 1402015569

(Ebook) Handbook of Finsler Geometry: Volume 2 by Peter L. Antonelli ISBN 9781402015564, 1402015569

It was over three years ago, at the annual meeting of the American Mathematical Society in San Diego, California, that Dr. Paul Roos of Kluwer asked me to poll Finsler geometers around the world as to their interest in writing a HANDBOOK OF FINSLER GEOMETRY. The result of that query was a resounding affirmation, and here at long last, is the final result.  You have in your hands, the most complete and authoritative exposition of state-of-the-art Finsler geometry that is possible, today. Each of the eleven parts is completely independent of the rest, and each has been written with mathematics and science students in mind.P.L. Antonelli,  Edmonton, Alberta, Canada, June, 2003 Vol. 1 1. Complex Finsler Geometry - T. Aikou2. KCC Theory of a System of Second Order Differential Equations - P.L. Antonelli and I. Bucataru3. Fundamentals of Finslerian Diffusion with Applications - P.L. Antonelli and T. J. Zastawniak4. Symplectic Transformation of the Geometry of T * M; L-Duality - D. Hrimiuc and H. Shimada5. Holonomy Structures in Finsler Geometry - L. Kozina6. On the Gauss-Bonnet-Chem Theorem in Finsler Geometry - B. Lackey7. The Hodge Theory of Finsler-type Geometries - B. Lackey8. Finsler Geometry in the 20th-Century - M.Matsumoto   vol. 28. Finsler Geometry in the 20th-Century - M. Matsumoto   9. The Geometry of Lagrange Space - R. Miron, M. Anastasiei and loan Bucataru10. Symbolic Finsler Geometry  - S.F. Rutz and R. Portugal  11. A Setting for Spray and Finsler Geometry