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Author: Dominic D. Joyce
Publisher: OUP Oxford
Published: 2000
Total Pages: 460
ISBN-13: 9780198506010
DOWNLOAD EBOOKThis 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
Published: 2007
Total Pages: 314
ISBN-13: 019921560X
DOWNLOAD EBOOKRiemannian 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
Published: 2012-12-06
Total Pages: 245
ISBN-13: 3642190049
DOWNLOAD EBOOKThis 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: Clay Mathematics Institute. Summer School
Publisher: American Mathematical Soc.
Published: 2004
Total Pages: 396
ISBN-13: 9780821837153
DOWNLOAD EBOOKContains 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
Published: 2020-05-26
Total Pages: 392
ISBN-13: 1071605771
DOWNLOAD EBOOKThis 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
Published: 2010-09-07
Total Pages: 398
ISBN-13: 0465020232
DOWNLOAD EBOOKThe leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.
Author: Yvonne Choquet-Bruhat
Publisher: Gulf Professional Publishing
Published: 1982
Total Pages: 666
ISBN-13: 9780444860170
DOWNLOAD EBOOKThis reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. The present edition is a thorough revision of the first, including a new chapter entitled ``Connections on Principle Fibre Bundles'' which includes sections on holonomy, characteristic classes, invariant curvature integrals and problems on the geometry of gauge fields, monopoles, instantons, spin structure and spin connections. Many paragraphs have been rewritten, and examples and exercises added to ease the study of several chapters. The index includes over 130 entries.
Author: Jurgen Berndt
Publisher: CRC Press
Published: 2016-02-22
Total Pages: 494
ISBN-13: 1482245167
DOWNLOAD EBOOKSubmanifolds 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: Simon Salamon
Publisher: Longman Scientific and Technical
Published: 1989
Total Pages: 226
ISBN-13:
DOWNLOAD EBOOKAuthor: Bernhard Riemann
Publisher: Birkhäuser
Published: 2016-04-19
Total Pages: 181
ISBN-13: 3319260421
DOWNLOAD EBOOKThis 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.
