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140122 ||| eng |
| 020 |
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|a 9783322802712
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| 100 |
1 |
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|a Fujimoto, Hirotaka
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| 245 |
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|a Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm
|h Elektronische Ressource
|c by Hirotaka Fujimoto
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| 250 |
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|a 1st ed. 1993
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| 260 |
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|a Wiesbaden
|b Vieweg+Teubner Verlag
|c 1993, 1993
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| 300 |
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|a XIII, 208 p
|b online resource
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| 505 |
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|a 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
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| 653 |
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|a Mathematical analysis
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| 653 |
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|a Analysis
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| 653 |
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|a Geometry
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
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|a Aspects of Mathematics
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| 028 |
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|a 10.1007/978-3-322-80271-2
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-322-80271-2?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 515
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