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#### Riemannian Geometry

Springer Berlin Heidelberg 2012; US$ 33.39Many years have passed since the ?rst edition. However, the encouragements of various readers and friends have persuaded us to write this third edition. During these years, Riemannian Geometry has undergone many dramatic - velopments. Here is not the place to relate them. The reader can consult for instance the recent book [Br5]. of our ?mentor? Marcel... more...

#### Differential Geometry of Varieties with Degenerate Gauss Maps

Springer New York 2006; US$ 74.36In this book the authors study the differential geometry of varieties with degenerate Gauss maps. They use the main methods of differential geometry, namely, the methods of moving frames and exterior differential forms as well as tensor methods. By means of these methods, the authors discover the structure of varieties with degenerate Gauss maps,... more...

#### Metric Structures in Differential Geometry

Springer New York 2012; US$ 60.15This text is an elementary introduction to differential geometry. Although it was written for a graduate-level audience, the only requisite is a solid back ground in calculus, linear algebra, and basic point-set topology. The first chapter covers the fundamentals of differentiable manifolds that are the bread and butter of differential geometry. All... more...

#### Geodesic Convexity in Graphs

Springer New York 2013; US$ 47.76????????Geodesic Convexity in Graphs is devoted to the study of the geodesic convexity on finite, simple, connected graphs. The first chapter includes the main definitions and results on graph theory, metric graph theory and graph path convexities. The following chapters focus exclusively on the geodesic convexity, including motivation and background,... more...

#### Differential Geometry of Submanifolds and its Related Topics

World Scientific Publishing Company 2013; US$ 102.00 US$ 92.82This volume is a compilation of papers presented at the conference on differential geometry, in particular, minimal surfaces, real hypersurfaces of a non-flat complex space form, submanifolds of symmetric spaces and curve theory. It also contains new results or brief surveys in these areas. This volume provides fundamental knowledge to readers (such... more...

#### Differential Geometry of Curves and Surfaces

CRC Press 2010; US$ 57.95Students and professors of an undergraduate course in differential geometry will appreciate the clear exposition and comprehensive exercises in this book that focuses on the geometric properties of curves and surfaces, one- and two-dimensional objects in Euclidean space. The problems generally relate to questions of local properties (the properties... more...

#### Differential Geometry of Manifolds

CRC Press 2010; US$ 90.95From the coauthor of Differential Geometry of Curves and Surfaces , this companion book presents the extension of differential geometry from curves and surfaces to manifolds in general. It provides a broad introduction to the field of differentiable and Riemannian manifolds, tying together the classical and modern formulations. The three appendices... more...

#### Riemannian Geometry in an Orthogonal Frame

World Scientific Publishing Company 2001; US$ 39.00 US$ 35.49Foreword by S S Chern. In 1926–27, Cartan gave a series of lectures in which he introduced exterior forms at the very beginning and used extensively orthogonal frames throughout to investigate the geometry of Riemannian manifolds. In this course he solved a series of problems in Euclidean and non-Euclidean spaces, as well as a series of variational... more...

#### Existence and Regularity of Minimal Surfaces on Riemannian Manifolds. (MN-27)

Princeton University Press 2014; US$ 60.00 US$ 54.60Mathematical No/ex, 27 Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback... more...

#### Multivariable Calculus and Differential Geometry

De Gruyter 2015; US$ 37.13This text is a modern in-depth study of the subject that includes all the material needed from linear algebra. It then goes on to investigate topics in differential geometry, such as manifolds in Euclidean space, curvature, and the generalization of the fundamental theorem of calculus known as Stokes' theorem. more...