Projective differential geometry of curves and ruled surfaces PDF Download
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Author: Ernest Julius Wilczynski
Publisher:
ISBN:
Category : Projective differential geometry
Languages : en
Pages : 322
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Book Description
Author: Ernest Julius Wilczynski
Publisher:
ISBN:
Category : Projective differential geometry
Languages : en
Pages : 322
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Book Description
Author: University of Chicago
Publisher:
ISBN:
Category :
Languages : en
Pages : 292
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Book Description
Author: Edgar D. Meacham
Publisher:
ISBN:
Category : Complexes
Languages : en
Pages : 28
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Book Description
Author: Chris Wendl
Publisher: Springer
ISBN: 3319913719
Category : Mathematics
Languages : en
Pages : 303
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Book Description
This monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensions four and three. The first half of the book focuses on McDuff's characterization of symplectic rational and ruled surfaces, one of the classic early applications of holomorphic curve theory. The proof presented here uses the language of Lefschetz fibrations and pencils, thus it includes some background on these topics, in addition to a survey of the required analytical results on holomorphic curves. Emphasizing applications rather than technical results, the analytical survey mostly refers to other sources for proofs, while aiming to provide precise statements that are widely applicable, plus some informal discussion of the analytical ideas behind them. The second half of the book then extends this program in two complementary directions: (1) a gentle introduction to Gromov-Witten theory and complete proof of the classification of uniruled symplectic 4-manifolds; and (2) a survey of punctured holomorphic curves and their applications to questions from 3-dimensional contact topology, such as classifying the symplectic fillings of planar contact manifolds. This book will be particularly useful to graduate students and researchers who have basic literacy in symplectic geometry and algebraic topology, and would like to learn how to apply standard techniques from holomorphic curve theory without dwelling more than necessary on the analytical details. This book is also part of the Virtual Series on Symplectic Geometry http://www.springer.com/series/16019
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 530
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Book Description
Author: Charles Thompson Sullivan
Publisher:
ISBN:
Category : Complexes
Languages : en
Pages : 44
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Book Description
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 896
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Book Description
Devoted to the publication of the results of research by members of the University of Kansas.
Author:
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ISBN:
Category :
Languages : en
Pages : 722
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Author:
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ISBN:
Category : Mathematics
Languages : en
Pages : 590
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Book Description
Author: Maks A. Akivis
Publisher: Springer Science & Business Media
ISBN: 0387215115
Category : Mathematics
Languages : en
Pages : 272
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Book Description
This book surveys the differential geometry of varieties with degenerate Gauss maps, using moving frames and exterior differential forms as well as tensor methods. The authors illustrate the structure of varieties with degenerate Gauss maps, determine the singular points and singular varieties, find focal images and construct a classification of the varieties with degenerate Gauss maps.
