Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm

Language: English

Published by Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Nov 2013, 2013

3322802736 / 9783322802736

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This item is printed on demand - Print on Demand Titel. Neuware -1 The Gauss map of minimal surfaces in R3.- 1.1 Minimal surfaces in Rm.- 1.2 The Gauss map of minimal surfaces in Bm.- 1.3 Enneper-Weierstrass representations of minimal surfaces in R3.- 1.4 Sum to product estimates for meromorphic functions.- 1.5 The big Picard theorem.- 1.6 An estimate for the Gaussian curvature of minimal surfaces.- 2 The derived curves of a holomorphic curve.- 2.1 Holomorphic curves and their derived curves.- 2.2 Frenet frames.- 2.3 Contact functions.- 2.4 Nochka weights for hyperplanes in subgeneral position.- 2.5 Sum to product estimates for holomorphic curves.- 2.6 Contracted curves.- 3 The classical defect relations for holomorphic curves.- 3.1 The first main theorem for holomorphic curves.- 3.2 The second main theorem for holomorphic curves.- 3.3 Defect relations for holomorphic curves.- 3.4 Borel's theorem and its applications.- 3.5 Some properties of Wronskians.- 3.6 The second main theorem for derived curves.- 4 Modified defect relation for holomorphic curves.- 4.1 Some properties of currents on a Riemann surface.- 4.2 Metrics with negative curvature.- 4.3 Modified defect relation for holomorphic curves.- 4.4 The proof of the modified defect relation.- 5 The Gauss map of complete minimal surfaces in Rm.- 5.1 Complete minimal surfaces of finite total curvature.- 5.2 The Gauss maps of minimal surfaces of finite curvature.- 5.3 Modified defect relations for the Gauss map of minimal surfaces.- 5.4 The Gauss map of complete minimal surfaces in R3 and R4.- 5.5 Examples.Vieweg+Teubner Verlag, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 224 pp. Englisch.…

Seller Inventory # 9783322802736

Title
Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm
Author
Hirotaka Fujimoto
Publisher
Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Nov 2013
Publication year
2013
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3322802736
ISBN 13
9783322802736
Item weight
347 grams
Dimensions
235x155x13 mm

buchversandmimpf2000

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