<p>This book begins with a new approach to the geometry of pseudo-Finsler manifolds. It also discusses the geometry of pseudo-Finsler manifolds and presents a comparison between the induced and the intrinsic Finsler connections. The Cartan, Berwald, and Rund connections are all investigated. Included also is the study of totally geodesic and other special submanifolds such as curves, surfaces, and hypersurfaces. <br> Audience: The book will be of interest to researchers working on pseudo-Finsler geometry in general, and on pseudo-Finsler submanifolds in particular.</p>

Geometry of Pseudo-Finsler Submanifolds (Mathematics and its Applications Volume 527) (Mathematics and Its Applications, 527)

Science & Math

Bejancu, Aurel

Farran, Hani Reda

Biological Sciences

Springer

This self-contained book starts with the basic material on distributions and foliations. It then gradually introduces and builds the tools needed for studying the geometry of foliated manifolds. The main theme of the book is to investigate the interrelations between foliations of a manifold on the one hand, and the many geometric structures that the manifold may admit on the other hand. Among these structures are: affine, Riemannian, semi-Riemannian, Finsler, symplectic, complex and contact structures. Using these structures, the book presents interesting classes of foliations whose geometry is very rich and promising. These include the classes of: Riemannian, totally geodesic, totally umbilical, minimal, parallel non-degenerate, parallel totally - null, parallel partially - null, symmetric, transversally symmetric, Lagrange, totally real and Legendre foliations. Some of these classes appear for the first time in the literature in book form. Finally, the vertical foliation of a vector bundle is used to develop a gauge theory on the total space of a vector bundle.

Foliations and Geometric Structures (Mathematics and Its Applications, Vol. 580)

Mathematics

This book begins with a new approach to the geometry of pseudo-Finsler manifolds. It also discusses the geometry of pseudo-Finsler manifolds and presents a comparison between the induced and the intrinsic Finsler connections. The Cartan, Berwald, and Rund connections are all investigated. Included also is the study of totally geodesic and other special submanifolds such as curves, surfaces, and hypersurfaces.  Audience: The book will be of interest to researchers working on pseudo-Finsler geometry in general, and on pseudo-Finsler submanifolds in particular.

Geometry of Pseudo-Finsler Submanifolds (Mathematics and Its Applications)

See the best price to sell, buy, or rent books by Farran, Hani Reda. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Farran, Hani Reda

See the best price to sell, buy, or rent books by Farran, Hani Reda. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Geometry of Pseudo-Finsler Submanifolds (Mathematics and its Applications Volume 527) (Mathematics and Its Applications, 527)

Foliations and Geometric Structures (Mathematics and Its Applications, Vol. 580)

Geometry of Pseudo-Finsler Submanifolds (Mathematics and Its Applications)