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#### 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...

#### 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...

#### 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...

#### 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...

#### Differential Geometry

World Scientific Publishing Company 2009; US$ 172.00This volume contains research and expository papers on recent advances in foliations and Riemannian geometry. Some of the topics covered in this volume include: topology, geometry, dynamics and analysis of foliations, curvature, submanifold theory, Lie groups and harmonic maps. Among the contributions, readers may find an extensive survey on characteristic... more...

#### CR Submanifolds of Complex Projective Space

Springer 2010; US$ 129.00This book covers the necessary topics for learning the basic properties of complex manifolds, offering an easy, friendly, and accessible introduction into the subject while aptly guiding the reader to topics of current research and to more advanced publications. The first half of the book provides an introduction to complex differential geometry and... more...

#### Geometry Revealed

Springer 2010; US$ 89.95Both classical geometry and modern differential geometry have been active subjects of research throughout the 20th century and lie at the heart of many recent advances in mathematics and physics. The underlying motivating concept for the present book is that it offers readers the elements of a modern geometric culture by means of a whole series of... more...