Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and physicists this book... Lees meer.

Suitable as a tool for self-study this title can also be used as a basic text for undergraduate courses in differential geometry. It includes examples within the exercises and features material ranging from isoperimetric problems to comments on Einstein s original pap... Lees meer.

Honoring Andrei Agrachev s 60th birthday this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. This volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian g... Lees meer.

Elliptic equations of critical Sobolev growth have been the target of investigation for decades because they have proved to be of great importance in analysis geometry and physics. The equations studied here are of the well-known Yamabe type. They involve Schr dinger... Lees meer.

Nonholonomic systems are control systems which depend linearly on the control. Their underlying geometry is the sub-Riemannian geometry which plays for these systems the same role as Euclidean geometry does for linear systems.... Lees meer.

This monograph deals with the Riemannian geometry of both symplectic and contact manifolds with particular emphasis on the latter. The text is carefully presented. Topics unfold systematically from Chapter 1 which examines the general theory of symplectic manifolds. P... Lees meer.

Sub-Riemannian manifolds are manifolds with the Heisenberg principle built in. This comprehensive text and reference begins by introducing the theory of sub-Riemannian manifolds using a variational approach in which all properties are obtained from minimum principles a... Lees meer.

Developments in topology and analysis have led to the creation of various lines of investigation in differential geometry. This title presents the background context and main techniques of three such lines by means of surveys by some of the leading researchers. It is s... Lees meer.

Non-Riemannian Geometry deals basically with manifolds dominated by the geometry of paths developed by the author Luther Pfahler Eisenhart and Oswald Veblen who were faculty colleagues at Princeton University during the early twentieth century. Eisenhart played an a... Lees meer.

Honoring Andrei Agrachev s 60th birthday this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. This volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian g... Lees meer.

Riemannian holonomy groups and calibrated geometry covers an exciting and active area of research at the crossroads of several different fields in Mathematics and Physics. Drawing on the author s previous work the text has been written to explain the advanced mathematic... Lees meer.

The basic goals of the book are. i to introduce the subject to those interested in discovering it ii to coherently present a number of basic techniques and results currently used in the subject to those working in it and iii to present some of the results tha... Lees meer.

Sub-Riemannian geometry has been a full research domain with motivations and ramifications in several parts of pure and applied mathematics. This book provides an introduction to sub-Riemannian geometry. Sub-Riemannian geometry also known as Carnot geometry in Fran... Lees meer.

This book provides an introduction to the differential geometry of curves and surfaces in three-dimensional Euclidean space and to n-dimensional Riemannian geometry. Based on Kreyszig s earlier book Differential Geometry it is presented in a simple and understandable m... Lees meer.

Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus linear algebra and differential equations to the higher levels of abstraction and proof encountered at the upper di... Lees meer.