Posted by **arundhati** at Sept. 12, 2015

2008 | ISBN-10: 190486872X | 224 pages | PDF | 3 MB

Posted by **harrry** at June 10, 2009

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 This is the first book to be written about them, and contains much previously unpublished material which significantly improves the original constructions.

Posted by **AvaxGenius** at June 14, 2017

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

Posted by **libr** at June 11, 2017

English | ISBN: 0521116732, 0511688865 | 2009 | 312 pages | PDF | 1,7 MB

Posted by **Jeembo** at June 11, 2017

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.

Posted by **Underaglassmoon** at June 11, 2017

World Scientific | English | 2016 | ISBN-10: 9814733784 | 128 pages | PDF | 1.85 mb

by Yuli Rudyak (Author)

Posted by **interes** at May 28, 2017

English | 2016 | ISBN: 2856298257 | 340 pages | PDF | 3 MB

Posted by **AvaxGenius** at May 11, 2017

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.

Posted by **naag** at April 19, 2017

2008 | pages: 361 | ISBN: 3540737499 | PDF | 8,8 mb

Posted by **hill0** at April 19, 2017

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.