Differential and Riemannian geometry

This book provides an upto date information on metric, connection and curva- ture symmetries used in geometry and physics.

This book is designed as a textbook for a one-quarter or one-semester graduate course on Riemannian geometry, for students who are familiar with topological and differentiable manifolds.

In mathematical physics, the correspondence between quantum and classical mechanics is a central topic, which this book explores in more detail in the particular context of spin systems, that is, SU(2)-symmetric mechanical systems.

An up-to-date survey of research in singularity theory.

This volume derives from a workshop on differential geometry, calculus of vari- ations, and computer graphics at the Mathematical Sciences Research Institute in Berkeley, May 23-25, 1988.

This volume of the EMS contains four survey articles on analytic spaces.

This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28.

Original research and expert surveys on Riemann surfaces.

This graduate text provides a concise and self-contained introduction to Kähler geometry.

This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature - gravitational, electromagnetic, strong nuclear, and weak nuclear.

The subjects of stochastic processes, information theory, and Lie groups are usually treated separately from each other.

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

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

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In these notes we consider two kinds of nonlinear evolution problems of von Karman type on Euclidean spaces of arbitrary even dimension.

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

This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties.

Concise and modern introduction to differential topology with a hands-on approach and plentiful examples and exercises.

The discoveries of the past decade have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic topology.

This graduate level text covers an exciting and active area of research at the crossroads of several different fields in Mathematics and Physics.

This volume presents lectures given at the Wisla 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisla, Poland, and was organized by the Baltic Institute of Mathematics.

Boundary problems constitute an essential field of common mathematical interest.

One of the mathematical challenges of modern physics lies in the development of new tools to efficiently describe different branches of physics within one mathematical framework.

This book describes analytical methods for modelling drop evaporation, providing the mathematical tools needed in order to generalise transport and constitutive equations and to find analytical solutions in curvilinear coordinate systems.

Geometry in ancient Greece is said to have originated in the curiosity of mathematicians about the shapes of crystals, with that curiosity culminating in the classification of regular convex polyhedra addressed in the final volume of Euclid's Elements.

This book aims to provide an overview of several topics in advanced differential geometry and Lie group theory, all of them stemming from mathematical problems in supersymmetric physical theories.

This book is about the light like (degenerate) geometry of submanifolds needed to fill a gap in the general theory of submanifolds.

This book opens with an axiomatic description of Euclidean and non-Euclidean geometries.

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

Up-to-date research in metric diffusion along compact foliations is presented in this book.

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.

From a historical point of view, the theory we submit to the present study has its origins in the famous dissertation of P.

This book provides a comprehensive introduction to the Calculus of Variations and its use in modelling mechanics and physics problems.

Shiing-Shen Chern (1911-2004) was one of the leading differential geometers of the twentieth century.

This text is an elementary introduction to differential geometry.

This volume attests to the vitality of differential geometry as it probes deeper into its internal structure and explores ever widening connections with other subjects in mathematics and physics.

This volume is a compilation of papers presented at the conference on differential geometry, in particular, minimal surfaces, real hypersurfaces of a non-flat complex space form, submanifolds of symmetric spaces and curve theory.

Reprinted as it originally appeared in the 1990s, this work is as an affordable text that will be of interest to a range of researchers in geometric analysis and mathematical physics.

This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the advances in the field.

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