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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...

#### 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...

#### 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...

#### 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...

#### 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...

#### Riemannian Topology and Geometric Structures on Manifolds

Springer 2010; US$ 199.00"Riemannian Topology and Geometric Structures on Manifolds" results from a similarly entitled conference held at the University of New Mexico in Albuquerque. The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kahler and Sasaki geometry, and their interrelation to mathematical physics,... 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...

#### Minimal Submanifolds in Pseudo-Riemannian Geometry

World Scientific Publishing Company 2010; US$ 94.00Since the foundational work of Lagrange on the differential equation to be satisfied by a minimal surface of the Euclidean space, the theory of minimal submanifolds have undergone considerable developments, involving techniques from related areas, such as the analysis of partial differential equations and complex analysis. On the other hand, the relativity... more...

#### Elementare Differentialgeometrie

De Gruyter 2010; US$ 735.00This textbook presents an introduction to the differential geometry of curves and surfaces. This second, revised edition has been expanded to include solutions and applications in cartography. Topics include Euclidean geometry, curve theory, surface theory, curvature concepts, minimal surfaces, Riemann geometry and the Gauss-Bonnet theorem. more...