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.

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.

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 central theme of this book is the theorem of Ambrose and Singer which gives for a connected complete and simply connected Riemannian manifold a necessary and sufficient condition for it to be homogeneous. This is a local condition which has to be satisfied at all... 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.

Manifold optimization is an emerging field of contemporary optimization that constructs efficient and robust algorithms by exploiting the specific geometrical structure of the search space. In our case the search space takes the form of a manifold. Manifold optimization... 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.

This monograph is based on the author s results on the Riemannian ge ometry of foliations with nonnegative mixed curvature and on the geometry of sub manifolds with generators rulings in a Riemannian space of nonnegative curvature. This monograph is based on the a... 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 is the third version of a book on differential manifolds. At the most basic level the book gives an introduction to the basic concepts which are used in differential topology differential geometry and differential equations. This is the third version of a boo... Lees meer.

Stochastic analysis on Riemannian manifolds without boundary has been well established. However the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with n... Lees meer.

Mathematical 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... Lees meer.

Mathematical 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 paperback editions p... Lees meer.