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Introduction to Foliations and Lie Groupoidsby I. Moerdijk; J. Mrcun; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak
Cambridge University Press 2003; US$ 60.00This book gives a quick introduction to the theory of foliations and Lie groupoids. It is based on the authors' extensive teaching experience and contains numerous examples and exercises making it ideal either for independent study or as the basis of a graduate course. more...
Foliations and Geometric Structuresby Aurel Bejancu; Hani Reda Farran
Springer 2006; US$ 129.00Offers basic material on distributions and foliations. This book introduces and builds the tools needed for studying the geometry of foliated manifolds. Its main theme 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. more...
Exotic Smoothness And Physicsby Torsten Asselmeyer-Maluga; Carl H Brans
World Scientific 2007; US$ 91.00The recent revolution in differential topology related to the discovery of non-standard (“exotic”) smoothness structures on topologically trivial manifolds such as R4 suggests many exciting opportunities for applications of potentially deep importance for the spacetime models of theoretical physics, especially general relativity. This rich panoply of new differentiable structures lies in the previously unexplored region between topology and geometry. Just as physical geometry was thought to be trivial before Einstein, physicists have continued to work under the tacit — but now shown to be incorrect — assumption that differentiability is uniquely determined by topology for simple four-manifolds. Since diffeomorphisms are... more...
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Cambridge University Press 2008; US$ 80.00The first comprehensive introduction to contact topology. Ideal for graduate courses on contact geometry, and as a reference for researchers. more...
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Elsevier 1992; US$ 210.00...there are reasons enough to warrant a coherent treatment of the main body of differential topology in the realm of Banach manifolds, which is at the same time correct and complete. This book fills the gap: whenever possible the manifolds treated are Banach manifolds with corners. Corners add to the complications and the authors have carefully fathomed the validity of all main results at corners. Even in finite dimensions some results at corners are more complete and better thought out here than elsewhere in the literature. The proofs are correct and with all details. I see this book as a reliable monograph of a well-defined subject; the possibility to fall back to it adds to the feeling of security when climbing in the more dangerous realms... more...
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Oxford University Press, UK 2007; US$ 150.00This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. - ;This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the... more...
Fine Structures of Hyperbolic Diffeomorphismsby David A. Rand; Flávio Ferreira
Springer 2008; US$ 129.00The study of hyperbolic systems is a core theme of modern dynamics. This work focuses on the theory of the fine scale structure of hyperbolic invariant sets and their measures. It covers some of the most important aspects of the subject and is suitable for PhD students interested in this area. more...
Metric Foliations and Curvatureby Detlef Gromoll; Gerard Walschap
Springer 2008; US$ 69.95Riemannian manifolds, particularly those with positive or nonnegative curvature, are constructed from only a handful by means of metric fibrations or deformations thereof. This text documents some of these constructions, many of which have only appeared in journal form. more...
Symmetry and Spacesby H.E.A. Campbell; Loek Helminck; Hans-Peter Kraft; David L. Wehlau
Springer 2010; US$ 119.00This volume is an outgrowth of that event, covering the wide range of mathematics to which Gerry Schwarz has either made fundamental contributions or stimulated others to pursue. more...
