Differential and Riemannian geometry

After several decades of reduced contact, the interaction between physicists and mathematicians in the front-line research of both fields recently became deep and fruit- ful again.

"e;And what is the use,"e; thought Alice, "e;of a book without pictures or conversations in it?

The contemporary theoretical physics consists, by and large, of two independent parts.

This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature.

This book is a new edition of a title originally published in1992.

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

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

Supermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups.

The concept of ridges has appeared numerous times in the image processing liter- ature.

This text presents a graduate-level introduction to differential geometry for mathematics and physics students.

Most topics dealt with here deal with complex analysis of both one and several complex variables.

This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research.

The EUCOMES08, Second European Conference on Mechanism Science is the second event of a series that has been started in 2006 as a conference activity for an European community working in Mechanism Science.

Book IV continues the discussion begun in the first three volumes.

This volume contains invited lectures and selected research papers in the fields of classical and modern differential geometry, global analysis, and geometric methods in physics, presented at the 10th International Conference on Differential Geometry and its Applications (DGA2007), held in Olomouc, Czech Republic.

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 explores the possibility of extending the notions of "e;Grassmannian"e; and "e;Gauss map"e; to the PL category.

The Hauptvermutung is the conjecture that any two triangulations of a poly- hedron are combinatorially equivalent.

Intended for a one year course, this volume serves as a single source, introducing students to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian geometry.

In this volume readers will find for the first time a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory.

The NLAGA's Biennial International Research Symposium (NLAGA-BIRS) is intended to gather African expertises in Nonlinear Analysis, Geometry and their Applications with their international partners in a four days conference where new mathematical results are presented and discussed.

Geometric flows have many applications in physics and geometry.

Written primarily for students who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Revised 2nd Edition, provides an introduction to the geometry of curves and surfaces.

The seminar Symplectic Geometry at the University of Berne in summer 1992 showed that the topic of this book is a very active field, where many different branches of mathematics come tog9ther: differential geometry, topology, partial differential equations, variational calculus, and complex analysis.

In this book, the optimal transportation problem (OT) is described as a variational problem for absolutely continuous stochastic processes with fixed initial and terminal distributions.

The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory.

In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kahler structure.

This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them.

Wie bewegt sich ein Massenpunkt in einem Gebiet, an dessen Rand er elastisch zurückprallt?

Geometric measure theory has roots going back to ancient Greek mathematics, for considerations of the isoperimetric problem (to ?

Mathematical Visualization is a young new discipline.

In the last decade, convolution operators of matrix functions have received unusual attention due to their diverse applications.

Computer Vision is a rapidly growing field of research investigating computational and algorithmic issues associated with image acquisition, processing, and understanding.

This volume features selected papers from The Fifteenth International Conference on Order Analysis and Related Problems of Mathematical Modeling, which was held in Vladikavkaz, Russia, on 15 - 20th July 2019.

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

Multivariable analysis is an important subject for mathematicians, both pure and applied.

Investigations in modem nonlinear analysis rely on ideas, methods and prob- lems from various fields of mathematics, mechanics, physics and other applied sciences.

This book collects original peer-reviewed contributions to the conferences organised by the international research network "e;Minimal surfaces: Integrable Systems and Visualization"e; financed by the Leverhulme Trust.

This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction.

Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors.

This volume guides early-career researchers through recent breakthroughs in mathematics and physics as related to general relativity.

This book aims to present to first and second year graduate students a beautiful and relatively accessible field of mathematics-the theory of singu- larities of stable differentiable mappings.

This self-contained text is an excellent introduction to Lie groups and their actions on manifolds.

The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y.

The book is devoted to recent research in the global variational theory on smooth manifolds.

An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems.

I had mixed feelings when I thought how I should prepare the book for the second edition.

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