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#### An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem

Springer 2007; US$ 99.00This book gives an up-to-date account of progress on Pansu's celebrated problem on the sub-Riemannian isoperimetric profile of the Heisenberg group. It also serves as an introduction to the general field of sub-Riemannian geometric analysis. It develops the methods and tools of sub-Riemannian differential geometry, nonsmooth analysis, and geometric... more...

#### Differential Geometry and Analysis on CR Manifolds

Springer 2007; US$ 219.00The study of CR manifolds lies at the intersection of three main mathematical disciplines: partial differential equations, complex analysis in several complex variables, and differential geometry. This monograph offers a presentation of several differential geometric aspects in the theory of CR manifolds and tangential Cauchy-Riemann equations. more...

#### Discrete Differential Geometry

Springer 2008; US$ 59.99Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. Current progress in this field is to a large extent... more...

#### Metric Structures for Riemannian and Non-Riemannian Spaces

Springer 2007; US$ 69.99An English translation of the famous "Green Book" by Lafontaine and Pansu (1979). This work also includes four appendices, by Gromov on Levy's inequality, by Pansu on "quasiconvex" domains, by Katz on systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures, as well as a bibliography... more...

#### Handbook of Differential Geometry

Elsevier Science 1999; US$ 270.00In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and... more...

#### Vanishing and Finiteness Results in Geometric Analysis

Springer 2008; US$ 99.00This book presents very recent results involving an extensive use of analytical tools in the study of geometrical and topological properties of complete Riemannian manifolds. It analyzes in detail an extension of the Bochner technique to the non compact setting, yielding conditions which ensure that solutions of geometrically significant differential... more...

#### Projective Differential Geometry of Submanifolds

Elsevier Science 1993; US$ 72.95In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and conjugate lines, submanifolds on the Grassmannians, different aspects of the normalization problems for submanifolds (with special emphasis... more...

#### Families of Conformally Covariant Differential Operators, Q-Curvature and Holography

Springer 2009; US$ 139.00Focuses on Q-curvature. This book studies structural properties of Q-curvature from an extrinsic point of view by regarding it as a derived quantity of certain conformally covariant families of differential operators which are associated to hypersurfaces. more...

#### Radon Transforms and the Rigidity of the Grassmannians (AM-156)

Princeton University Press 2009; US$ 99.95This book provides the first unified examination of the relationship between Radon transforms on symmetric spaces of compact type and the infinitesimal versions of two fundamental rigidity problems in Riemannian geometry. Its primary focus is the spectral rigidity problem: Can the metric of a given Riemannian symmetric space of compact type be characterized... more...