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.
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 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.
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.
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.
This book deals with the geometrical structure of finite dimensional normed spaces as the dimension grows to infinity. This book deals with the geometrical structure of finite dimensional normed spaces as the dimension grows to infinity. This is a part of what came... 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.
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. This work gives a coherent introduction to isoperimetric ineq... Lees meer.
This book is about the light like degenerate geometry of submanifolds needed to fill a gap in the general theory of submanifolds. This book is about the light like degenerate geometry of submanifolds needed to fill a gap in the general theory of submanifolds. The... Lees meer.
The question of the existence of isometric embeddings of Riemannian manifolds in Euclidean space is already more than a century old. This book presents in a systematic way results both local and global and in arbitrary dimension but with a focus on the isometric embed... Lees meer.
This text on analysis of Riemannian manifolds is an introduction to topics covered in advanced research monographs on Atiyah-Singer index theory. It is aimed at students who have had a first course in differentiable manifolds and the Riemannian geometry used is develop... Lees meer.
This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them. It also provides a detailed introduction to homogeneous geodesics that is geodesics that are integral curves of Killing vector fields presen... Lees meer.
Riemannian Topology and Geometric Structures on Manifolds results from a similarly entitled conference held at the University of New Mexico in Albuquerque. Riemannian Topology and Geometric Structures on Manifolds results from a similarly entitled conference held at t... Lees meer.
