Manifolds

Symplectic and Poisson Geometry on Loop Spaces of Smooth Manifolds and Integrable Equations

O I Mokhov, "Symplectic and Poisson Geometry on Loop Spaces of Smooth Manifolds and Integrable Equations"
2008 | ISBN-10: 190486872X | 224 pages | PDF | 3 MB

Compact Manifolds with Special Holonomy  eBooks & eLearning

Posted by harrry at June 10, 2009
Compact Manifolds with Special Holonomy

Compact Manifolds with Special Holonomy
Oxford University Press | September 21, 2000 | ISBN: 0198506015 | 448 pages | PDF | 5.39 mb

The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kahler geometry. Then the Calabi conjecture is proved and used to deduce the existence of compact manifolds with holonomy SU(m) (Calabi-Yau manifolds) and Sp(m) (hyperkahler manifolds). These are constructed and studied using complex algebraic geometry. The second half of the book is devoted to constructions of compact 7- and 8-manifolds with the exceptional holonomy groups 92 and Spin(7). Many new examples are given, and their Betti numbers calculated. The first known examples of these manifolds were discovered by the author in 1993-5. This is the first book to be written about them, and contains much previously unpublished material which significantly improves the original constructions.

Differential Analysis on Complex Manifolds, Third Edition (Repost)  eBooks & eLearning

Posted by AvaxGenius at June 14, 2017
Differential Analysis on Complex Manifolds, Third Edition (Repost)

Differential Analysis on Complex Manifolds, Third Edition By Raymond O. Wells Jr.
English | PDF | 2008 | 314 Pages | ISBN : 0387738916 | 1.92 MB

In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations

Synthetic Geometry of Manifolds (repost)  eBooks & eLearning

Posted by libr at June 11, 2017
Synthetic Geometry of Manifolds (repost)

Synthetic Geometry of Manifolds (Cambridge Tracts in Mathematics, Vol. 180) by Anders Kock
English | ISBN: 0521116732, 0511688865 | 2009 | 312 pages | PDF | 1,7 MB

Dynamical Systems on 2- and 3-Manifolds  eBooks & eLearning

Posted by Jeembo at June 11, 2017
Dynamical Systems on 2- and 3-Manifolds

Dynamical Systems on 2- and 3-Manifolds by Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka
English | 2016 | ISBN: 3319448463 | 295 Pages | PDF | 12.6 MB

This book provides an introduction to the topological classification of smooth structurally stable diffeomorphisms on closed orientable 2- and 3-manifolds.

Piecewise Linear Structures On Topological Manifolds  eBooks & eLearning

Posted by Underaglassmoon at June 11, 2017
Piecewise Linear Structures On Topological Manifolds

Piecewise Linear Structures On Topological Manifolds
World Scientific | English | 2016 | ISBN-10: 9814733784 | 128 pages | PDF | 1.85 mb

by Yuli Rudyak (Author)

Lagrangian Floer Theory and Mirror Symmetry on Compact Toric Manifolds  eBooks & eLearning

Posted by interes at May 28, 2017
Lagrangian Floer Theory and Mirror Symmetry on Compact Toric Manifolds

Lagrangian Floer Theory and Mirror Symmetry on Compact Toric Manifolds (Asterisque) by Kenji Fukaya and Yong-geun Oh
English | 2016 | ISBN: 2856298257 | 340 pages | PDF | 3 MB

An Introduction to Manifolds (Repost)  eBooks & eLearning

Posted by AvaxGenius at May 11, 2017
An Introduction to Manifolds (Repost)

An Introduction to Manifolds By Loring W. Tu
English | PDF | 2008 | 358 Pages | ISBN : 0387480986 | 3.6 MB

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.

Principal Manifolds for Data Visualization and Dimension Reduction [repost]  eBooks & eLearning

Posted by naag at April 19, 2017
Principal Manifolds for Data Visualization and Dimension Reduction [repost]

Alexander N. Gorban, Balázs Kégl, Donald C. Wunsch, Andrei Zinovyev, "Principal Manifolds for Data Visualization and Dimension Reduction"
2008 | pages: 361 | ISBN: 3540737499 | PDF | 8,8 mb
Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds (Solid Mechanics and Its Applications)

Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds (Solid Mechanics and Its Applications) by Uwe Mühlich
English | 12 May 2017 | ISBN: 3319562630 | 125 Pages | PDF | 3.05 MB

This book presents the fundamentals of modern tensor calculus for students in engineering and applied physics, emphasizing those aspects that are crucial for applying tensor calculus safely in Euclidian space and for grasping the very essence of the smooth manifold concept.