Connections, sprays, and Finsler structures /József Szilasi, Rezső L Lovas, Dávid Cs Kertész, University of Debrecen, Hungary. -Singapore :World Scientific,2014

709 tr. ;24 cm

This book provides a comprehensive introduction to Finsler geometry in the language of present-day mathematics. Through Finsler geometry, it also introduces the reader to other structures and techniques of differential geometry. Prerequisites for reading the book are minimal: undergraduate linear algebra (over the reals) and analysis. The necessary concepts and tools of advanced linear algebra (over modules), point set topology, multivariable calculus and the rudiments of the theory of differential equations are integrated in the text. Basic manifold and bundle theories are treated concisely, carefully and (apart from proofs) in a self-contained manner. The backbone of the book is the detailed and original exposition of tangent bundle geometry, Ehresmann connections and sprays. It turns out that these structures are important not only in their own right and in the foundation of Finsler geometry, but they can be also regarded as the cornerstones of the huge edifice of Differential Geometry

1.Geometry2.Differential.

1.Rezső L Lovas2.Dávid Cs Kertész

516.36SZ - J

9789814440097