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#### Riemannian Geometry

Cambridge University Press 2006; US$ 56.00This corrected and clarified second edition, first published in 2006, includes a new chapter on the Riemannian geometry of surfaces. more...

#### Differential Geometry and Topology, Discrete and Computational Geometry

IOS Press 2005; US$ 126.00The aim of this volume is to give an introduction and overview to differential topology, differential geometry and computational geometry with an emphasis on some interconnections between these three domains of mathematics. The chapters give the background required to begin research in these fields or at their interfaces. They introduce new research... more...

#### Handbook of Differential Geometry

Elsevier Science 2005; US$ 285.00In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. 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... more...

#### Lectures on Kähler Geometry

Cambridge University Press 2007; US$ 44.00This graduate text provides a concise and self-contained introduction to Kähler geometry. more...

#### Topics In Almost Hermitian Geometry And Related Fields - Proceedings In Honor Of Professor K Sekigawa's 60th Birthday

World Scientific Publishing Company 2005; US$ 176.00This volume contains a valuable collection of research articles by active and well-known mathematicians in differential geometry and mathematical physics, contributed to mark Professor Kouei Sekigawa?s 60th birthday. The papers feature many new and significant results while also reviewing developments in the field. The illustrious career of Professor... more...

#### Riemannian Geometry and Geometric Analysis

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 59.95Offering some topics of contemporary mathematical research, this fourth edition provides an introduction to Riemannian geometry and geometric analysis. It focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry, and the existence of harmonic mappings. It also includes an introduction to Kahler geometry. more...

#### The Geometry Of Hessian Structures

World Scientific Publishing Company 2007; US$ 128.00The geometry of Hessian structures is a fascinating emerging field of research. It is in particular a very close relative of Kählerian geometry, and connected with many important pure mathematical branches such as affine differential geometry, homogeneous spaces and cohomology. The theory also finds deep relation to information geometry in applied... more...

#### Handbook of Normal Frames and Coordinates

Springer 2006; US$ 139.00Presents an in-depth survey of the theory of normal frames and coordinates in differential geometry. This book can be used as a reference manual, a review of the existing results and an introduction to some new ideas and developments. It proves the theorems of existence, uniqueness and, possibly, holonomicity of the normal frames and coordinates. 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...

#### 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...