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Geometry and Topology of Manifolds

of view: topological, smooth, constant curvature, complex, and conformal. Each chapter briefly revisits basic results usually known to graduate;

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Topological, Differential and Conformal Geometry of Surfaces

theory of Riemann surfaces. It first covers the prerequisites, including the basics of differential forms, the Poincare Lemma, the Morse Lemma;

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Conformal Differential Geometry and Its Generalizations

Comprehensive coverage of the foundations, applications, recent developments, and future of conformal differential geometry Conformal;

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Introduction To Mobius Differential Geometry

This book introduces the reader to the geometry of surfaces and submanifolds in the conformal n-sphere. Various models for Moebius geometry;

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Curves and Surfaces

This introductory textbook puts forth a clear and focused point of view on the differential geometry of curves and surfaces. Following the;

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Conformal Differential Geometry

of central significance in differential geometry and physics. Well-known examples of such operators are the Yamabe-, the Paneitz-, the Dirac- and the;

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Partial Differential Equations III

of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion;

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Differential Geometry Of Curves And Surfaces

This volume covers local as well as global differential geometry of curves and surfaces. *Makes extensive use of elementary linear algebra;

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Harmonic Mappings in the Plane

classically by differential geometers because they provide isothermal (or conformal) parameters for minimal surfaces. More recently they have been;

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Geometry of Surfaces

of the Contacting Part Surfaces. Geometry of Surfaces: A Practical Guide for Mechanical Engineers combines differential geometry and gearing;

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Differential Forms and Applications

An application of differential forms for the study of some local and global aspects of the differential geometry of surfaces. Differential;

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Computational Conformal Geometry

Computational conformal geometry is an emerging inter-disciplinary field, with applications to algebraic topology, differential geometry;

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Cambridge Monographs on Mathematical Physics

and topological field theory. With chapters on random walks, random surfaces, two- and higher dimensional quantum gravity, topological quantum;

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Cartan for Beginners

problems in geometry. It begins with the classical differential geometry of surfaces and basic Riemannian geometry in the language of moving frames;

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Surfaces in Classical Geometries

material to relevant topics in classical differential geometry. The method of moving frames, a natural means for discovering and proving important;

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From Differential Geometry to Non-commutative Geometry and Topology

geometry and non-commutative geometry. The book shows that the index formula is a topological statement, and ends with non-commutative topology.;

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Geometric And Topological Methods For Quantum Field Theory - Proceedings Of The Summer School

applications to topological field theory, Chern-Simons supergravity and the anti de Sitterconformal field theory correspondence. It comprises seven;

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Geometric Relativity

geometry and partial differential equations. This book is centered around the study of mass in general relativity using the techniques of geometric;

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Geometric Analysis Around Scalar Curvatures

as the negative index term. These topics will be of interest to those studying conformal geometry and geometric partial differential;

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Differential Geometry From A Singularity Theory Viewpoint

Differential Geometry from a Singularity Theory Viewpoint provides a new look at the fascinating and classical subject of the differential;

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Differential Geometry

This outstanding textbook by a distinguished mathematical scholar introduces the differential geometry of curves and surfaces in three;

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Differential Geometry of Curves and Surfaces

One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and;

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Elementary Differential Geometry

Geometry, Second Edition provides an introduction to the geometry of curves and surfaces. Although the popular First Edition has been extensively;

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An Introduction to Differential Geometry

and methods of differential geometry.Part 1 begins by employing vector methods to explore the classical theory of curves and surfaces;

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