Differential and Riemannian geometry

Dirac operators play an important role in several domains of mathematics and physics, for example: index theory, elliptic pseudodifferential operators, electromagnetism, particle physics, and the representation theory of Lie groups.

The implicit function theorem is part of the bedrock of mathematical analysis and geometry.

The volume is dedicated to AA.

This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology).

The most important thing is to write equations in a beautiful form and their success in applications is ensured.

This book is an introductory graduate-level textbook on the theory of smooth manifolds.

Extrinsic geometry describes properties of foliations on Riemannian manifolds which can be expressed in terms of the second fundamental form of the leaves.

Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics.

In this text, integral geometry deals with Radon's problem of representing a function on a manifold in terms of its integrals over certain submanifolds-hence the term the Radon transform.

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This textbook offers a different approach to classical textbooks in Differential Geometry.

This book represents the first synthesis of the considerable body of new research into positive definite matrices.

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.

The papers collected in this volume are contributions to the 43rd session of the Seminaire ' de mathematiques ' superieures ' (SMS) on "e;Morse Theoretic Methods in Nonlinear Analysis and Symplectic Topology.

curvilinear coordinates.

The emergence of topological quantum ?

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

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

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

This book represents the first synthesis of the considerable body of new research into positive definite matrices.

This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry.

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

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

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

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

A first course in celestial mechanics emphasising the variety of geometric ideas that have shaped the subject.

A first course in celestial mechanics emphasising the variety of geometric ideas that have shaped the subject.

This 1994 book introduces the tools of modern differential geometry, exterior calculus, manifolds, vector bundles and connections.

Applications covered include image segmentation, shape analysis, image enhancement, and tracking.

A thoroughly revised second edition of a textbook for a first course in differential/modern geometry that introduces methods within a historical context.

A thoroughly revised second edition of a textbook for a first course in differential/modern geometry that introduces methods within a historical context.

This easy-to-read introduction takes the reader from elementary problems through to current research.

In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds.

Presents recent advances of Jordan theory in differential geometry, complex and functional analysis, with numerous examples and historical notes.

The state of the art from an internationally respected line up of authors working in geometric variational problems.

Presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics.

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

INTRODUCTION TO DIFFERENTIAL GEOMETRY WITH TENSOR APPLICATIONS This is the only volume of its kind to explain, in precise and easy-to-understand language, the fundamentals of tensors and their applications in differential geometry and analytical mechanics with examples for practical applications and questions for use in a course setting.

INTRODUCTION TO DIFFERENTIAL GEOMETRY WITH TENSOR APPLICATIONS This is the only volume of its kind to explain, in precise and easy-to-understand language, the fundamentals of tensors and their applications in differential geometry and analytical mechanics with examples for practical applications and questions for use in a course setting.

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

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

This classic work is now available in an unabridged paperback edition.

Comprehensive coverage of the foundations, applications, recent developments, and future of conformal differential geometry Conformal Differential Geometry and Its Generalizations is the first and only text that systematically presents the foundations and manifestations of conformal differential geometry.

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