02973nam a22005055i 4500 978-1-4020-3720-7 DE-He213 20260521092058.0 cr nn 008mamaa 100301s2006 ne | s |||| 0|eng d 9781402037207 99781402037207 10.1007/1-4020-3720-1 doi 516.36 23 Bejancu, Aurel. author. Foliations and Geometric Structures [electronic resource] / by Aurel Bejancu, Hani Reda Farran. Dordrecht : Springer Netherlands, 2006. X, 300 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Mathematics and Its Applications ; 580 Geometry of Distributions on a Manifold -- Structural and Transversal Geometry of Foliations -- Foliations on Semi-Riemannian Manifolds -- Parallel Foliations -- Foliations Induced by Geometric Structures -- A Gauge Theory on a Vector Bundle. 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. MATHEMATICS. GEOMETRY. GLOBAL DIFFERENTIAL GEOMETRY. ALGEBRAIC TOPOLOGY. MATHEMATICAL PHYSICS. MATHEMATICS. DIFFERENTIAL GEOMETRY. GEOMETRY. ALGEBRAIC TOPOLOGY. MATHEMATICAL METHODS IN PHYSICS. Farran, Hani Reda. author. SpringerLink (Online service) Springer eBooks Printed edition: 9781402037191 Mathematics and Its Applications ; 580 http://dx.doi.org/10.1007/1-4020-3720-1 Ver el texto completo en las instalaciones del CICY ZDB-2-SMA ddc ER 36505 36505 0 0 ddc 0 0 LE CICY CICY EL 2025-10-06 0 516.36 2025-10-06 08:44:59 2025-10-06 ER