Differential and Riemannian geometry

This book provides a complete exposition of equidistribution and counting problems weighted by a potential function of common perpendicular geodesics in negatively curved manifolds and simplicial trees.

The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces.

This book provides an up-to-date presentation of homogeneous pseudo-Riemannian structures, an essential tool in the study of pseudo-Riemannian homogeneous spaces.

This volume presents lectures given at the Summer School Wisla 18: Nonlinear PDEs, Their Geometry, and Applications, which took place from August 20 - 30th, 2018 in Wisla, Poland, and was organized by the Baltic Institute of Mathematics.

This textbook provides a coherent, integrated look at various topics from undergraduate analysis.

This book treats the two-dimensional non-linear supersymmetric sigma model or spinning string from the perspective of supergeometry.

This book explains the foundations of holomorphic curve theory in contact geometry.

This book collects independent contributions on current developments in quantum information theory, a very interdisciplinary field at the intersection of physics, computer science and mathematics.

Aimed toward graduate students and research mathematicians, with minimal prerequisites this book  provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory.

This book develops a novel approach to perturbative quantum field theory: starting with a perturbative formulation of classical field theory, quantization is achieved by means of deformation quantization of the underlying free theory and by applying the principle that as much of the classical structure as possible should be maintained.

This is the first comprehensive monograph to thoroughly investigate constant width bodies, which is a classic area of interest within convex geometry.

This volume, dedicated to the memory of the great American mathematician Bertram Kostant (May 24, 1928 - February 2, 2017), is a collection of 19 invited papers by leading mathematicians working in Lie theory, representation theory, algebra, geometry, and mathematical physics.

This volume resulted from presentations given at the international "e;Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie-Butcher Series"e;, that took place at the Instituto de Ciencias Matematicas (ICMAT) in Madrid, Spain.

This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation.

This book consists of two lecture notes on geometric flow equations (O.

This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathematical.

This book presents problems and solutions in calculus with curvilinear coordinates.

This textbook explores advanced topics in differential geometry, chosen for their particular relevance to modern geometry processing.

The 2nd edition of this textbook features more than 100 pages of new material, including four new chapters, as well as an improved discussion of differential geometry concepts and their applications.

A-infinity structure was introduced by Stasheff in the 1960s in his homotopy characterization of based loop space, which was the culmination of earlier works of Sugawara's homotopy characterization of H-spaces and loop spaces.

This invaluable book, based on the many years of teaching experience of both authors, introduces the reader to the basic ideas in differential topology.

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.

This book presents a new front of research in conformal geometry, on sign-changing Yamabe-type problems and contact form geometry in particular.

A central area of study in Differential Geometry is the examination of the relationship between the purely algebraic properties of the Riemann curvature tensor and the underlying geometric properties of the manifold.

The book presents a comprehensive guide to the study of Lie systems from the fundamentals of differential geometry to the development of contemporary research topics.

In view of the significance of the array manifold in array processing and array communications, the role of differential geometry as an analytical tool cannot be overemphasized.

Enumerative geometry is a core area of algebraic geometry that dates back to Apollonius in the second century BCE.

This book is an introductory text on Differential Geometry presented in tensorial approach.

Several important problems arising in Physics, Differential Geometry and other topics lead to consider semilinear variational equations of strongly indefinite type and a great deal of work has been devoted to their study.

This book provides a comprehensive introduction to Submanifold theory, focusing on general properties of isometric and conformal immersions of Riemannian manifolds into space forms.

This volume explores the interplay between mathematical and physical research and the interactions of twentieth-century scientists within their academic communities.

This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms.

This contributed volume is the result of a July 2010 workshop at the University of Wuppertal Interdisciplinary Centre for Science and Technology Studies which brought together world-wide experts from physics, philosophy and history, in order to address a set of questions first posed in the 1950s: How do we compare spacetime theories?

This book illustrates the broad range of Jerry Marsden's mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective.

Soviet citizens can buy Monastyrsky's biography of Riemann for eleven kopeks.

This book is intended to meet the need for a text introducing advanced students in mathematics, physics, and engineering to the field of differential geometry.

This book is intended to meet the need for a text introducing advanced students in mathematics, physics, and engineering to the field of differential geometry.

The book is designed chiefly for the use of students and teachers.

Concepts from Tensor Analysis and Differential Geometry discusses coordinate manifolds, scalars, vectors, and tensors.

The Mathematical Works of J.

In 1905, Albert Einstein offered a revolutionary theory - special relativity - to explain some of the most troubling problems in current physics concerning electromagnetism and motion.

This book is meant to be an introduction to Riemannian geometry.

This book is an introduction to hyperbolic and differential geometry that provides material in the early chapters that can serve as a textbook for a standard upper division course on hyperbolic geometry.

Lie Sphere Geometry provides a modern treatment of Lie's geometry of spheres, its recent applications and the study of Euclidean space.

Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry.

The author's lectures, "e;Contact Manifolds in Riemannian Geometry,"e; volume 509 (1976), in the Springer-Verlag Lecture Notes in Mathematics series have been out of print for some time and it seems appropriate that an expanded version of this material should become available.

This book is based on the full year Ph.

The main aim of this book is to introduce Lie groups and allied algebraic and geometric concepts to a robotics audience.