Differential and Riemannian geometry

A new approach to studying Fréchet geometry using projective limits of geometrical objects modelled on Banach spaces.

This new edition has been thoroughly revised, expanded and contain some updates function of the novel results and shift of scientific interest in the topics.

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 examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance.

Gaussian scale-space is one of the best understood multi-resolution techniques available to the computer vision and image analysis community.

'The present volume, written in a clear and precise style, ends with a rich bibliography of 167 items, including some classical books and papers.

The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry.

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

The study of minimal surfaces is an important subject in differential geometry, and Nevanlinna theory is an important subject in complex analysis and complex geometry.

Fuchsian reduction is a method for representing solutions of nonlinear PDEs near singularities.

This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject.

This book offers the most comprehensive survey to date of the theory of semiparallel submanifolds.

This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity.

The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.

The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry.

This textbook provides a thorough introduction to the differential geometry of parametrized curves and surfaces, along with a wealth of applications to specific architectural elements.

This proceedings consists of papers presented at the international meeting of Differential Geometry and Computer Vision held in Norway and of international meetings on Pure and Applied Differential Geometry held in Belgium.

The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564.

This book aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems.

This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master's students.

After a brief description of the evolution of thinking on Finslerian geometry starting from Riemann, Finsler, Berwald and Elie Cartan, the book gives a clear and precise treatment of this geometry.

This monograph presents the geometric foundations of continuum mechanics.

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This volume contains the contributions by the main participants of the 2nd International Colloquium on Differential Geometry and its Related Fields (ICDG2010), held in Veliko Tarnovo, Bulgaria to exchange information on current topics in differential geometry, information geometry and applications.

The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to present some of the results that are attractive in their own right, and which lend themselves to a presentation not overburdened with technical machinery.

Targeted to graduate students of mathematics, this book discusses major topics like the Lie group in the study of smooth manifolds.

This book explains and helps readers to develop geometric intuition as it relates to differential forms.

This volume of proceedings is an offspring of the special semester Ergodic Theory, Geometric Rigidity and Number Theory which was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, from Jan- uary until July, 2000.

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

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

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.

The two parts of the present volume contain extended conference abstracts corresponding to selected talks given by participants at the "e;Conference on Geometric Analysis"e; (thirteen abstracts) and at the "e;Conference on Type Theory, Homotopy Theory and Univalent Foundations"e; (seven abstracts), both held at the Centre de Recerca Matematica (CRM) in Barcelona from July 1st to 5th, 2013, and from September 23th to 27th, 2013, respectively.

Harmonic maps between Riemannian manifolds are solutions of systems of nonlinear partial differential equations which appear in different contexts of differential geometry.

This volume is based on the lectures given at the First Inter University Graduate School on Gravitation and Cosmology organized by IUCAA, Pune, in 1989.

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

The volume is a collection of refereed research papers on infinite dimensional groups and manifolds in mathematics and quantum physics.

This book contains an up-to-date survey and self-contained chapters on contact slant submanifolds and geometry, authored by internationally renowned researchers.

This volume collects papers based on talks given at the conference "e;Geometrias'19: Polyhedra and Beyond"e;, held in the Faculty of Sciences of the University of Porto between September 5-7, 2019 in Portugal.

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.

This work is the first systematic study of all possible conformally covariant differential operators transforming differential forms on a Riemannian manifold X into those on a submanifold Y with focus on the model space (X, Y) = (Sn, Sn-1).

A comprehensive text and reference on sub-Riemannian and Heisenberg manifolds using a novel and robust variational approach.

This is both a textbook and a monograph.

This book provides an introduction to deformation quantization and its relation to quantum field theory, with a focus on the constructions of Kontsevich and Cattaneo & Felder.

This volume presents the results and problems in several complex variables especially L2-methods, Riemannian and Hermitian geometry, spectral theory in Hilbert space, probability and applications in mathematical physics.

Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.

Dieses prägnante und praxisorientierte Lehrbuch präsentiert die Grundlagen der Mathematik auf glatten Mannigfaltigkeiten.

The International Conference on Finsler and Lagrange Geometry and its Applications: A Meeting of Minds, took place August 13-20, 1998 at the University of Alberta in Edmonton, Canada.