Riemannian Holonomy Groups And Calibrated Geometry

Author : Dominic D. Joyce
Publisher : Oxford University Press
ISBN 13 : 019921560X
Total Pages : 314 pages
Book Rating : 4.07/5 ( download)

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Download or read book Riemannian Holonomy Groups and Calibrated Geometry written by Dominic D. Joyce and published by Oxford University Press. This book was released on 2007 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Simon Salamon
Publisher : Longman Scientific and Technical
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.89/5 ( download)

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Download or read book Riemannian Geometry and Holonomy Groups written by Simon Salamon and published by Longman Scientific and Technical. This book was released on 1989 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Jurgen Berndt
Publisher : CRC Press
ISBN 13 : 0203499158
Total Pages : 351 pages
Book Rating : 4.53/5 ( download)

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Download or read book Submanifolds and Holonomy written by Jurgen Berndt and published by CRC Press. This book was released on 2003-04-28 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: With special emphasis on new techniques based on the holonomy of the normal connection, this book provides a modern, self-contained introduction to submanifold geometry. It offers a thorough survey of these techniques and their applications and presents a framework for various recent results to date found only in scattered research papers. The trea

Author : Andrew Clarke
Publisher :
ISBN 13 : 9788524403460
Total Pages : 126 pages
Book Rating : 4.62/5 ( download)

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Download or read book Holonomy Groups in Riemannian Geometry written by Andrew Clarke and published by . This book was released on 2012 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Mark Gross
Publisher : Springer Science & Business Media
ISBN 13 : 3642190049
Total Pages : 245 pages
Book Rating : 4.49/5 ( download)

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Download or read book Calabi-Yau Manifolds and Related Geometries written by Mark Gross and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Dominic D. Joyce
Publisher : OUP Oxford
ISBN 13 : 9780198506010
Total Pages : 460 pages
Book Rating : 4.15/5 ( download)

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Download or read book Compact Manifolds with Special Holonomy written by Dominic D. Joyce and published by OUP Oxford. This book was released on 2000 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Meinolf Geck
Publisher : Clarendon Press
ISBN 13 : 0191663727
Total Pages : 320 pages
Book Rating : 4.27/5 ( download)

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Download or read book An Introduction to Algebraic Geometry and Algebraic Groups written by Meinolf Geck and published by Clarendon Press. This book was released on 2013-03-14 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible text introducing algebraic geometries and algebraic groups at advanced undergraduate and early graduate level, this book develops the language of algebraic geometry from scratch and uses it to set up the theory of affine algebraic groups from first principles. Building on the background material from algebraic geometry and algebraic groups, the text provides an introduction to more advanced and specialised material. An example is the representation theory of finite groups of Lie type. The text covers the conjugacy of Borel subgroups and maximal tori, the theory of algebraic groups with a BN-pair, a thorough treatment of Frobenius maps on affine varieties and algebraic groups, zeta functions and Lefschetz numbers for varieties over finite fields. Experts in the field will enjoy some of the new approaches to classical results. The text uses algebraic groups as the main examples, including worked out examples, instructive exercises, as well as bibliographical and historical remarks.

Author : Vicente Cortés
Publisher : Springer
ISBN 13 : 3030011267
Total Pages : 121 pages
Book Rating : 4.60/5 ( download)

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Download or read book Geometric Flows and the Geometry of Space-time written by Vicente Cortés and published by Springer. This book was released on 2018-12-05 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of two lecture notes on geometric flow equations (O. Schnürer) and Lorentzian geometry - holonomy, spinors and Cauchy Problems (H. Baum and T. Leistner) written by leading experts in these fields. It grew out of the summer school “Geometric flows and the geometry of space-time” held in Hamburg (2016) and provides an excellent introduction for students of mathematics and theoretical physics to important themes of current research in global analysis, differential geometry and mathematical physics

Author : Simon Donaldson
Publisher : Oxford University Press
ISBN 13 : 0198526393
Total Pages : 301 pages
Book Rating : 4.91/5 ( download)

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Download or read book Riemann Surfaces written by Simon Donaldson and published by Oxford University Press. This book was released on 2011-03-24 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authoritative but accessible text on one dimensional complex manifolds or Riemann surfaces. Dealing with the main results on Riemann surfaces from a variety of points of view; it pulls together material from global analysis, topology, and algebraic geometry, and covers the essential mathematical methods and tools.

Author : Thomas Andrew Ivey
Publisher : American Mathematical Soc.
ISBN 13 : 0821833758
Total Pages : 394 pages
Book Rating : 4.59/5 ( download)

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Download or read book Cartan for Beginners written by Thomas Andrew Ivey and published by American Mathematical Soc.. This book was released on 2003 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to Cartan's approach to differential geometry. Two central methods in Cartan's geometry are the theory of exterior differential systems and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems. It begins with the classical geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally with motivating examples leading to definitions, theorems, and proofs. Once the basics of the methods are established, the authors develop applications and advanced topics.One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. The book features an introduction to $G$-structures and a treatment of the theory of connections. The Cartan machinery is also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence. This text is suitable for a one-year graduate course in differential geometry, and parts of it can be used for a one-semester course. It has numerous exercises and examples throughout. It will also be useful to experts in areas such as PDEs and algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields.