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.

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.

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.

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.

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.

The principal distinction between chapters and lectures is that the material of each chapter should be complete to a certain extent and the length of chapters can differ while in contrast all lectures should be approximately the same in length and the topic of any le... Lees meer.

This book covers the topics of differential manifolds Riemannian metrics connections geodesics and curvature with special emphasis on the intrinsic features of the subject. It treats in detail classical results on the relations between curvature and topology. The bo... 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.

This book provides an introduction to Riemannian geometry the geometry of curved spaces.... Lees meer.

This work develops critical new ideas and methods for the analysis of elliptic PDEs on compact Riemannian manifolds especially in the framework of the Yamabe equation critical Sobolev embedding and blow-up techniques asymptotic analysis . Elliptic equations of cri... Lees meer.

This book is an exposition of Singular Semi-Riemannian Geometry - the study of a smooth manifold furnished with a degenerate singular metric tensor of arbitrary signature. This book is an exposition of Singular Semi-Riemannian Geometry - the study of a smooth man... 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.

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.

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.

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.