8 edition of **An introduction to real and complex manifolds.** found in the catalog.

An introduction to real and complex manifolds.

Giuliano Sorani

- 248 Want to read
- 11 Currently reading

Published
**1969**
by Gordon and Breach in New York
.

Written in English

- Topology,
- Manifolds (Mathematics)

**Edition Notes**

Bibliography: p. 194.

Series | Notes on mathematics and its applications |

Classifications | |
---|---|

LC Classifications | QA611 .S57 |

The Physical Object | |

Pagination | xiv, 198 p. |

Number of Pages | 198 |

ID Numbers | |

Open Library | OL5695935M |

LC Control Number | 70091367 |

Complex geometry studies (compact) complex manifolds. It discusses algebraic as well as metric aspects. The subject is on the crossroad of algebraic and differential geometry. Recent developments in string theory have made it an highly attractive area, both for mathematicians and theoretical physicists. The author’s goal is to provide an easily accessible introduction to the subject/5(3). This book and Tu's "An Introduction to Manifolds" compete with Jack Lee's trilogy as the standard modern textbook introductions to manifolds and differential geometry. Tu's books provide a clear, easy to follow and comprehensive path through the central topics in differential geometry that are important to both pure mathematicians and Reviews:

It follows that a complex manifold is automatically a real analytic manifold. Here are some important examples of real and complex manifolds. Example Any connected open subset Mof Rn is a real analytic manifold. The local chart (M,ι) is simply the induced one . Chapters are very readable to people with an elementary knowledge of real analysis and linear algebra. Chapter 4 is a good introduction to Lie algebra. Chapter 5 discusses differential forms, which is a crucial topic in the theory of manifolds and therefore I read it before chapter 4, that is kind of independent from the rest of the books Reviews:

The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincar and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality theorem. The goal was to give beginning graduate students an introduction to some of the most important basic facts and ideas in minimal surface theory. Prerequisites: the reader should know basic complex analysis and elementary differential geometry. ( views) Noncompact Harmonic Manifolds by Gerhard Knieper, Norbert Peyerimhoff - arXiv,

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The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincaré and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Cited by: An introduction to real and complex manifolds.

Notes on mathematics and its applications by Sorani, Giuliano: and a great selection of related books, art and collectibles available now at The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincare and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality theorem.

Chapter 3 includes characterizations of linear Author: R. Narasimhan. An introduction to real and complex manifolds. [Giuliano Sorani] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library.

Create Book\/a>, schema:CreativeWork\/a> ; \u00A0\u00A0\u00A0\n library. Introduction to real and complex manifolds. New York, Gordon and Breach [] (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Giuliano Sorani.

Purchase Analysis on Real and Complex Manifolds, Volume 35 - 2nd Edition. Print Book & E-Book. ISBNSearch in this book series.

Analysis on Real and Complex Manifolds. Edited by R. Narasimhan. Vol Pages iii-xii, An introduction to real and complex manifolds.

book Download full volume. Previous volume. Next volume. Actions for selected chapters. Select all / Deselect all. Download PDFs Export citations. Abstract. We will try to give here an introduction to the theory of complex manifolds. This introduction though brief, with most proofs omitted, will hopefully contain many of the essential ideas that would be useful to physicists exploring this beautiful branch of mathematics.

This book is an introduction to the theory of complex manifolds. The author's intent is to familiarize the reader with the most important branches and methods in complex analysis of several variables and to do this as simply as possible.

A lecturer recommended to me "Analysis on Real and Complex Manifolds" by R. Narasimhan, but it is too advanced. A little bit more advanced and dealing extensively with differential geometry of manifolds is the book by Jeffrey Lee - "Manifolds and Differential Geometry" An Introduction to Manifolds by Loring Tu (As others have suggested!).

The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincare and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality theorem.

This volume serves as an introduction to the Kodaira-Spencer theory of deformations of complex structures.

Based on notes taken by James Morrow from lectures given by Kunihiko Kodaira at Stanford University inthe book gives the original proof of the Kodaira embedding theorem, showing that the restricted class of Kahler manifolds called Hodge manifolds is algebraic.

The first edition of this influential book, published inopened up a completely new field of invariant metrics and hyperbolic manifolds. The large number of papers on the topics covered by the book written since its appearance led Mathematical Reviews to create two new subsections?invariant metrics and pseudo-distances.

and?hyperbolic complex manifolds. within the section?holomorphic. This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field.

The book begins by explaining the local theory and all you need to understand the global structure of complex manifolds. Then we get an introduction to the complex manifolds as such, where the reader can progressively perceive the difference between real manifolds and complex ones.

Then he gets an account of the theory of Kälher s: 9. The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincaré and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality theorem.

The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincaré and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality : $ The aim of this book is to give an understandable introduction to the the ory of complex manifolds.

With very few exceptions we give complete proofs. Many examples and figures along with quite a few exercises are included. Our intent is to familiarize the reader with the most important branches and methods in complex analysis of several variables and to do this as simply as possible.

Huybrechts Complex Geometry is excellent, and has some more recent stuff. Griffiths and Harris Principles of Algebraic Geometry is a great classic. Barths, Peters and Van Den Ven Compact Complex Surfaces gives a nice explanation of the classification of surfaces, which gives lots of nice examples, including nonalgebraic ones.

Beauville, Complex Algebraic Surfaces covers the classification. Try the new Google Books. Check out the new look and enjoy easier access to your favorite features. Try it now. No thanks. Try the new Google Books IndieBound; Find in a library; All sellers» Analysis on Real and Complex Manifolds.

Raghavan Narasimhan. Masson, - Complex manifolds - pages. 0 Reviews. From inside the book. What. Lectures on Riemannian Geometry Complex Manifolds. This is an introductory lecture note on the geometry of complex manifolds.

Topics discussed are: almost complex structures and complex structures on a Riemannian manifold, symplectic manifolds, Kahler manifolds and Calabi-Yau manifolds,hyperkahler geometries.

Author(s): Stefan Vandoren.We give an account of some of the analysis on complex manifolds leading in particular to Dolbeault cohomology and the Hodge decomposition Theorem. On the way we introduce some basic notions such as sheaves, connections in fibre bundles and Kähler manifolds.

We thank Frl. A. Thiedemann for the difficult job of typing our illegible manuscript.An almost complex structure on a real 2n-manifold is a GL(n, C)-structure (in the sense of G-structures) – that is, the tangent bundle is equipped with a linear complex structure.

Concretely, this is an endomorphism of the tangent bundle whose square is −I; this endomorphism is analogous to multiplication by the imaginary number i, and is denoted J (to avoid confusion with the identity.