Manifolds and Lie Groups, J. Hano; H. Ozeki; K. Okamoto; S. Murakami; A. Mor

Автор: Baillon Paul
Название: Differential Manifolds
ISBN: 9814449563 ISBN-13(EAN): 9789814449564
Издательство: World Scientific Publishing
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Описание: Differential Manifold is the framework of particle physics and astrophysics nowadays. It is important for all research physicists to be well accustomed to it and even experimental physicists should be able to manipulate equations and expressions in that framework.This book gives a comprehensive description of the basics of differential manifold with a full proof of any element. A large part of the book is devoted to the basic mathematical concepts in which all necessary for the development of the differential manifold is expounded and fully proved.This book is self-consistent: it starts from first principles. The mathematical framework is the set theory with its axioms and its formal logic. No special knowledge is needed.

Автор: David Gauld
Название: Non-metrisable Manifolds
ISBN: 9811011524 ISBN-13(EAN): 9789811011528
Издательство: Springer
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Описание: The first book on this topic, this book ranges from criteria for metrisability, dynamics on non-metrisable manifolds, Nyikos`s Bagpipe Theorem and whether perfectly normal manifolds are metrisable to structures on manifolds, especially the abundance of exotic differential structures and the dearth of foliations on the long plane.

Автор: Owen Dearricott; Fernando Galaz-Garc?a; Lee Kennar
Название: Geometry of Manifolds with Non-negative Sectional Curvature
ISBN: 3319063723 ISBN-13(EAN): 9783319063720
Издательство: Springer
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Цена: 4890.00 р.
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Описание:

Riemannian manifolds with positive sectional curvature.- An introduction to isometric group actions.- A note on maximal symmetry rank, quasipositive curvature and low dimensional manifolds.- Lectures on n-Sasakian manifolds.- On the Hopf conjecture with symmetry.- An Introduction to Exterior Differential Systems.

Автор: Uwe M?hlich
Название: Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds
ISBN: 3319562630 ISBN-13(EAN): 9783319562636
Издательство: Springer
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Цена: 18167.00 р.
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Описание:

1 Introduction.- 2 Notes on point set topology.- 3 The finite dimensional real vector space.- 4 Tensor Algebra.- 5 Affine space and euclidean space.- 6 Tensor analysis in euclidean space.- 7 A primer on smooth manifolds.- B Further Reading.

Автор: T. Aubin
Название: Nonlinear Analysis on Manifolds. Monge-Amp?re Equations
ISBN: 0387907041 ISBN-13(EAN): 9780387907048
Издательство: Springer
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Цена: 19564.00 р.
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Описание: On the other hand, geometric problems often lead to limiting cases of known problems in analysis, sometimes there is even more than one approach, and the already existing theoretical studies are inadequate to solve them.

Автор: Krishan L. Duggal; Aurel Bejancu
Название: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications
ISBN: 0792339576 ISBN-13(EAN): 9780792339571
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Written with a two-fold approach in mind, this book adds to the theory of submanifolds, the missing part of lightlike (degenerate) submanifolds of semi-Riemannian manifolds, and applies relevant mathematical results to branches of physics. It is useful to graduate students, research assistants and faculty working in geometry and physics.

Автор: V.V. Trofimov
Название: Introduction to Geometry of Manifolds with Symmetry
ISBN: 0792325613 ISBN-13(EAN): 9780792325611
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Provides an introduction to the geometry of manifolds equipped with additional structures connected with the notion of symmetry. This volume presents the elements of differential geometry and is devoted to general topology, part to the theory of smooth manifolds, and the remaining sections deal with manifolds with additional structures.

Автор: Werner M?ller
Название: Manifolds with Cusps of Rank One
ISBN: 3540176969 ISBN-13(EAN): 9783540176961
Издательство: Springer
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Цена: 3487.00 р.
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Описание: Investigates manifolds that are generalizations of (XX)-rank one locally symmetric spaces. This book develops spectral theory for the differential Laplacian operator associated to the so-called generalized Dirac operators on manifolds with cusps of rank one.

Автор: Ethan Akin
Название: The Metric Theory of Banach Manifolds
ISBN: 3540089152 ISBN-13(EAN): 9783540089155
Издательство: Springer
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Цена: 4884.00 р.
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Автор: Frank W. Warner
Название: Foundations of Differentiable Manifolds and Lie Groups
ISBN: 0387908943 ISBN-13(EAN): 9780387908946
Издательство: Springer
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Цена: 7680.00 р.
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Описание: Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds.

Автор: Frank W. Warner
Название: Foundations of Differentiable Manifolds and Lie Groups
ISBN: 1441928200 ISBN-13(EAN): 9781441928207
Издательство: Springer
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Цена: 7680.00 р.
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Описание: Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via sheaf cohomology theory, and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find this beginning graduate-level text extremely useful.

Автор: Michael Kapovich
Название: Hyperbolic Manifolds and Discrete Groups
ISBN: 0817649123 ISBN-13(EAN): 9780817649128
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis.