Author: Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Smooth S1 Manifolds
Author: Smooth S1 Manifolds
Author: Wolf IberkleidPublisher:
ISBN: 9783662180525
Category :
Languages : en
Pages : 176
Book Description
Smooth S1 Manifolds
Author: Wolf IberkleidPublisher: Springer
ISBN: 3540375511
Category : Mathematics
Languages : en
Pages : 165
Book Description
Introduction to Smooth Manifolds
Author: John M. LeePublisher: Springer Science & Business Media
ISBN: 0387217525
Category : Mathematics
Languages : en
Pages : 646
Book Description
Author has written several excellent Springer books.; This book is a sequel to Introduction to Topological Manifolds; Careful and illuminating explanations, excellent diagrams and exemplary motivation; Includes short preliminary sections before each section explaining what is ahead and why
An Introduction to Manifolds
Author: Loring W. TuPublisher: Springer Science & Business Media
ISBN: 1441974008
Category : Mathematics
Languages : en
Pages : 426
Book Description
Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, 'Introduction to Manifolds' is also an excellent foundation for Springer's GTM 82, 'Differential Forms in Algebraic Topology'.
Harmonic Morphisms Between Riemannian Manifolds
Author: Paul BairdPublisher: Oxford University Press
ISBN: 9780198503620
Category : Mathematics
Languages : en
Pages : 540
Book Description
This is an account in book form of the theory of harmonic morphisms between Riemannian manifolds.
Introduction to Smooth Manifolds
Author: John M. LeePublisher: Springer Science & Business Media
ISBN: 9780387954486
Category : Mathematics
Languages : en
Pages : 660
Book Description
Author has written several excellent Springer books.; This book is a sequel to Introduction to Topological Manifolds; Careful and illuminating explanations, excellent diagrams and exemplary motivation; Includes short preliminary sections before each section explaining what is ahead and why
Riemannian Manifolds and Homogeneous Geodesics
Author: Valerii BerestovskiiPublisher: Springer Nature
ISBN: 3030566587
Category : Mathematics
Languages : en
Pages : 482
Book Description
This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them. It also provides a detailed introduction to homogeneous geodesics, that is, geodesics that are integral curves of Killing vector fields, presenting both classical and modern results, some very recent, many of which are due to the authors. The main focus is on the class of Riemannian manifolds with homogeneous geodesics and on some of its important subclasses. To keep the exposition self-contained the book also includes useful general results not only on geodesic orbit manifolds, but also on smooth and Riemannian manifolds, Lie groups and Lie algebras, homogeneous Riemannian manifolds, and compact homogeneous Riemannian spaces. The intended audience is graduate students and researchers whose work involves differential geometry and transformation groups.
Geometry and Topology of Manifolds
Author: Hans U. BodenPublisher: American Mathematical Soc.
ISBN: 9780821871492
Category : Mathematics
Languages : en
Pages : 368
Book Description
This book contains expository papers that give an up-to-date account of recent developments and open problems in the geometry and topology of manifolds, along with several research articles that present new results appearing in published form for the first time. The unifying theme is the problem of understanding manifolds in low dimensions, notably in dimensions three and four, and the techniques include algebraic topology, surgery theory, Donaldson and Seiberg-Witten gauge theory, Heegaard Floer homology, contact and symplectic geometry, and Gromov-Witten invariants. The articles collected for this volume were contributed by participants of the Conference "Geometry and Topology of Manifolds" held at McMaster University on May 14-18, 2004 and are representative of the many excellent talks delivered at the conference.
Lectures in Geometry
Author: Mikhail Mikhailovich PostnikovPublisher:
ISBN: 9785884170254
Category :
Languages : en
Pages :
Book Description
