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.

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.

This work gives a coherent introduction to isoperimetric inequalities in Riemannian manifolds featuring many of the results obtained during the last 25 years and discussing different techniques in the area. Written in a clear and appealing style the book includes suff... 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.

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.

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.

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.

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.

This book focuses on the study of the volume of vector fields on Riemannian manifolds. Providing a thorough overview of research on vector fields defining minimal submanifolds and on the existence and characterization of volume minimizers it includes proofs of the mos... 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.

The nonlinear nature of many vision tasks involves analysis over nonlinear spaces embedded in higher dimensional Euclidean spaces. Such manifolds can be studied using the theory of differential geometry. Here we develop two algorithms which can be applied over manifolds... Lees meer.

Towards the end of the nineteenth century Poincare developed methods for the study of global qualitative properties of solutions of dynamical systems in situations where explicit solution methods had failed. He discovered that the study of the geometry of the space o... Lees meer.

This book builds upon the revolutionary discovery made in 1974 that when one passes from function f to a function J of paths joining two points A1. A1 the connectivities R1 of the domain of f can be replaced by connectivities R1 over Q common to the pathwise components... Lees meer.

This monograph discusses covariant Schr dinger operators and their heat semigroups on noncompact Riemannian manifolds and aims to fill a gap in the literature given the fact that the existing literature on Schr dinger operators has mainly focused on scalar Schr dinger... Lees meer.

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