Compact Manifolds With Special Holonomy
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Author | : Dominic D. Joyce |
Publisher | : OUP Oxford |
Total Pages | : 460 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 9780198506010 |
Download Compact Manifolds with Special Holonomy Book in PDF, Epub and Kindle
This is a combination of a graduate textbook on Reimannian holonomy groups, and a research monograph on compact manifolds with the exceptional holonomy groups G2 and Spin (7). It contains much new research and many new examples.
Author | : Dominic D. Joyce |
Publisher | : Oxford University Press |
Total Pages | : 314 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 019921560X |
Download Riemannian Holonomy Groups and Calibrated Geometry Book in PDF, Epub and Kindle
Riemannian Holonomy Groups and Calibrated Geometry covers an exciting and active area of research at the crossroads of several different fields in mathematics and physics. Drawing on the author's previous work the text has been written to explain the advanced mathematics involved simply and clearly to graduate students in both disciplines.
Author | : Mark Gross |
Publisher | : Springer Science & Business Media |
Total Pages | : 245 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642190049 |
Download Calabi-Yau Manifolds and Related Geometries Book in PDF, Epub and Kindle
This is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate students and researchers in geometry and string theory. Proofs or sketches are given for many important results. From the reviews: "An excellent introduction to current research in the geometry of Calabi-Yau manifolds, hyper-Kähler manifolds, exceptional holonomy and mirror symmetry....This is an excellent and useful book." --MATHEMATICAL REVIEWS
Author | : Christine Jiayou Taylor |
Publisher | : |
Total Pages | : 84 |
Release | : 2000 |
Genre | : Holonomy groups |
ISBN | : |
Download Compact Manifolds with Exceptional Holonomy Book in PDF, Epub and Kindle
Author | : Clay Mathematics Institute. Summer School |
Publisher | : American Mathematical Soc. |
Total Pages | : 396 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9780821837153 |
Download Strings and Geometry Book in PDF, Epub and Kindle
Contains selection of expository and research article by lecturers at the school. Highlights current interests of researchers working at the interface between string theory and algebraic supergravity, supersymmetry, D-branes, the McKay correspondence andFourer-Mukai transform.
Author | : Spiro Karigiannis |
Publisher | : Springer Nature |
Total Pages | : 392 |
Release | : 2020-05-26 |
Genre | : Mathematics |
ISBN | : 1071605771 |
Download Lectures and Surveys on G2-Manifolds and Related Topics Book in PDF, Epub and Kindle
This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis. It provides an accessible introduction to various aspects of the geometry of G2 manifolds, including the construction of examples, as well as the intimate relations with calibrated geometry, Yang-Mills gauge theory, and geometric flows. It also features the inclusion of a survey on the new topological and analytic invariants of G2 manifolds that have been recently discovered. The first half of the book, consisting of several introductory lectures, is aimed at experienced graduate students or early career researchers in geometry and topology who wish to familiarize themselves with this burgeoning field. The second half, consisting of numerous survey articles, is intended to be useful to both beginners and experts in the field.
Author | : Shing-Tung Yau |
Publisher | : Il Saggiatore |
Total Pages | : 398 |
Release | : 2010-09-07 |
Genre | : Mathematics |
ISBN | : 0465020232 |
Download The Shape of Inner Space Book in PDF, Epub and Kindle
The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.
Author | : Jurgen Berndt |
Publisher | : CRC Press |
Total Pages | : 494 |
Release | : 2016-02-22 |
Genre | : Mathematics |
ISBN | : 1482245167 |
Download Submanifolds and Holonomy Book in PDF, Epub and Kindle
Submanifolds and Holonomy, Second Edition explores recent progress in the submanifold geometry of space forms, including new methods based on the holonomy of the normal connection. This second edition reflects many developments that have occurred since the publication of its popular predecessor.New to the Second EditionNew chapter on normal holonom
Author | : Bernhard Riemann |
Publisher | : Birkhäuser |
Total Pages | : 181 |
Release | : 2016-04-19 |
Genre | : Mathematics |
ISBN | : 3319260421 |
Download On the Hypotheses Which Lie at the Bases of Geometry Book in PDF, Epub and Kindle
This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.
Author | : Molino |
Publisher | : Springer Science & Business Media |
Total Pages | : 348 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1468486705 |
Download Riemannian Foliations Book in PDF, Epub and Kindle
Foliation theory has its origins in the global analysis of solutions of ordinary differential equations: on an n-dimensional manifold M, an [autonomous] differential equation is defined by a vector field X ; if this vector field has no singularities, then its trajectories form a par tition of M into curves, i.e. a foliation of codimension n - 1. More generally, a foliation F of codimension q on M corresponds to a partition of M into immersed submanifolds [the leaves] of dimension ,--------,- - . - -- p = n - q. The first global image that comes to mind is 1--------;- - - - - - that of a stack of "plaques". 1---------;- - - - - - Viewed laterally [transver 1--------1- - - -- sally], the leaves of such a 1--------1 - - - - -. stacking are the points of a 1--------1--- ----. quotient manifold W of di L..... -' _ mension q. -----~) W M Actually, this image corresponds to an elementary type of folia tion, that one says is "simple". For an arbitrary foliation, it is only l- u L ally [on a "simpIe" open set U] that the foliation appears as a stack of plaques and admits a local quotient manifold. Globally, a leaf L may - - return and cut a simple open set U in several plaques, sometimes even an infinite number of plaques.