Differential and Riemannian geometry

The goal of this monograph is to answer the question, is it possible to solve the dynamics problem inside the configuration space instead of the phase space?

This volume contains a valuable collection of research articles by active and well-known mathematicians in differential geometry and mathematical physics, contributed to mark Professor Kouei Sekigawa's 60th birthday.

This book consists of two parts, different in form but similar in spirit.

Vijay Kumar Patodi was a brilliant Indian mathematicians who made, during his short life, fundamental contributions to the analytic proof of the index theorem and to the study of differential geometric invariants of manifolds.

Provides the first systematic study of geometry and topology of locally symmetric rank one manifolds and dynamics of discrete action of their fundamental groups.

Scale is a concept the antiquity of which can hardly be traced.

This outstanding guide supplies important mathematical tools for diverse engineering applications, offering engineers the basic concepts and terminology of modern global differential geometry.

This volume is an outgrowth of the 1995 Summer School on Theoretical Physics of the Canadian Association of Physicists (CAP), held in Banff, Alberta, in the Canadian Rockies, from July 30 to August 12,1995.

The core of this monograph is the development of tools to derive well-posedness results in very general geometric settings for elliptic differential operators.

From Bäcklund to Darboux: a comprehensive journey through the transformation theory of constrained Willmore surfaces, with applications to constant mean curvature surfaces.

A working knowledge of differential forms so strongly illuminates the calculus and its developments that it ought not be too long delayed in the curriculum.

The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics.

Presenting some impressive recent achievements in differential geometry and topology, this volume focuses on results obtained using techniques based on Ricci flow.

Differential geometry, in the classical sense, is developed through the theory of smooth manifolds.

This book provides detailed information on index theories and their applications, especially Maslov-type index theories and their iteration theories for non-periodic solutions of Hamiltonian systems.

The book is devoted to algorithmic low-dimensional topology.

This monograph presents the geometric foundations of continuum mechanics.

This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications.

"e;Spherical soap bubbles"e;, isometric minimal immersions of round spheres into round spheres, or spherical immersions for short, belong to a fast growing and fascinating area between algebra and geometry.

This is a textbook on differential geometry well-suited to a variety of courses on this topic.

These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure interactions, and shape optimization.

Explore shattering ethical, political and practical quagmires in this gripping ecological thriller.

The subject of this volume, recent developments in foliation theory and important related analytic and geometric techniques, is an active field in the application of both global analysis and geometric topological theory of manifolds to the study of foliations.

In this book invariant probabilities for a large class of discrete-time homogeneous Markov processes known as Feller processes are discussed.

This book provides an introduction to geometric invariant theory from a differential geometric viewpoint.

It isn't that they can't see the solution.

The Bernstein problem and the Plateau problem are central topics in the theory of minimal submanifolds.

I.

This unique book deals with the theory of Rozansky-Witten invariants, introduced by L Rozansky and E Witten in 1997.

This book offers an introduction to differential geometry for the non-specialist.

The Symposium on the Current State and Prospects ofMathematics was held in Barcelona from June 13 to June 18,1991.

The aim of the Sino-Japan Conference of Young Mathematicians was to provide a forum for presenting and discussing recent trends and developments in differential equations and their applications, as well as to promote scientific exchanges and collaborations among young mathematicians both from China and Japan.

This monograph explores classical electrodynamics from a geometrical perspective with a clear visual presentation throughout.

The book demonstrates the development of integral geometry on domains of homogeneous spaces since 1990.

John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P.

This book contains papers given at the International Singularity Conference held in 1991 at Lille.

The main goal of this work is to revisit the proof of the global stability of Minkowski space by D.

This paper is a contribution to the topological study of vector fields on manifolds.

The topics in this survey volume concern research done on the differential geom- etry of foliations over the last few years.

Variational Inequalities and Frictional Contact Problems contains a carefully selected collection of results on elliptic and evolutionary quasi-variational inequalities including existence, uniqueness, regularity, dual formulations, numerical approximations and error estimates ones.

This book is a posthumous publication of a classic by Prof.

This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics.

This monograph presents new insights into the perturbation theory of dynamical systems based on the Gromov-Hausdorff distance.

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