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#### Metric Foliations and Curvature

Birkhäuser Basel 2009; US$ 87.25Riemannian 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...

#### Lectures on Resolution of Singularities (AM-166)

Princeton University Press 2009; Not AvailableResolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, János Kollár provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether. Kollár goes back to the original sources and presents... more...

#### Relative Index Theory, Determinants and Torsion for Open Manifolds

World Scientific Publishing Company 2009; US$ 54.00 US$ 49.14For closed manifolds, there is a highly elaborated theory of number-valued invariants, attached to the underlying manifold, structures and differential operators. On open manifolds, nearly all of this fails, with the exception of some special classes. The goal of this monograph is to establish for open manifolds, structures and differential operators... more...

#### Geometry, Rigidity, and Group Actions

University of Chicago Press 2011; US$ 81.00The study of group actions is more than a hundred years old but remains to this day a vibrant and widely studied topic in a variety of mathematic fields. A central development in the last fifty years is the phenomenon of rigidity, whereby one can classify actions of certain groups, such as lattices in semi-simple Lie groups. This provides... more...

#### Differential Topology

Springer Berlin Heidelberg 2011; US$ 19.77A. Banyaga: On the group of diffeomorphisms preserving an exact symplectic.- G.A. Fredricks: Some remarks on Cauchy-Riemann structures.- A. Haefliger: Differentiable Cohomology.- J.N. Mather: On the homology of Haefliger’s classifying space.- P. Michor: Manifolds of differentiable maps.- V. Poenaru: Some remarks on low-dimensional topology and immersion... more...

#### Topics in Extrinsic Geometry of Codimension-One Foliations

Springer New York 2011; US$ 54.67Extrinsic geometry describes those properties of foliations on Riemannian manifolds which can be expressed in terms of the second fundamental form of the leaves. The central topic of this book is Extrinsic Geometric Flow (EGF) on foliated manifolds. more...

#### Groups of Circle Diffeomorphisms

University of Chicago Press 2011; US$ 36.00In recent years scholars from a variety of branches of mathematics have made several significant developments in the theory of group actions. Groups of Circle Diffeomorphisms systematically explores group actions on the simplest closed manifold, the circle. As the group of circle diffeomorphisms is an important subject in modern mathematics, this... more...

#### REAL AND COMPLEX SINGULARITIES

World Scientific Publishing Company 2007; US$ 96.00 US$ 87.36The modern theory of singularities provides a unifying theme that runs through fields of mathematics as diverse as homological algebra and Hamiltonian systems. It is also an important point of reference in the development of a large part of contemporary algebra, geometry and analysis. Presented by internationally recognized experts, the collection... more...

#### The Geometry of Walker Manifolds

Morgan & Claypool Publishers 2009; US$ 40.00This book, which focuses on the study of curvature, is an introduction to various aspects of pseudo-Riemannian geometry. We shall use Walker manifolds (pseudo-Riemannian manifolds which admit a non-trivial parallel null plane field) to exemplify some of the main differences between the geometry of Riemannian manifolds and the geometry of pseudo-Riemannian... more...

#### Restricted Orbit Equivalence for Actions of Discrete Amenable Groups

Cambridge University Press 2002; US$ 40.00This 2002 title offers a broad investigative tool in ergodic theory and measurable dynamics. more...