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

Hirotaka Fujimoto (Autor)

Buch | Hardcover

XIII, 208 Seiten

1993 | 1993
Vieweg & Teubner (Verlag)
9783528064679 (ISBN)

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This book presents in a systematic and almost self-contained way the striking analogy between classical function theory, in particular the value distribution theory of holomorphic curves in projective space, on the one hand, and important and beautiful properties of the Gauss map of minimal surfaces on the other hand. Both theories are developed in the text, including many results of recent research. The relations and analogies between them become completely clear. The book is written for interested graduate students and mathematicians, who want to become more familiar with this modern development in the two classical areas of mathematics, but also for those, who intend to do further research on minimal surfaces.

Hirotaka Fujimoto ist Professor am Institut für Mathematik der Kanazawa Universität in Japan.

Contents: The Gauss map of minimal surfaces in R3 - The derived curves of a holomorphic curve - The classical defect relations for holomorphic curves - Modified defect relation for holomorphic curves - The Gauss Map of complete minimal surfaces in Rm.

Erscheint lt. Verlag	1.1.1993
Reihe/Serie	Aspects of Mathematics ; 21
Zusatzinfo	XIII, 208 p.
Verlagsort	Wiesbaden
Sprache	englisch
Maße	162 x 229 mm
Gewicht	474 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	defect relations • differential equation • Fläche • Gauss map • Gaußsche Flächentheorie • holomorphic curve • minimal surfaces • Minimum • modified defect relation
ISBN-13	9783528064679 / 9783528064679
Zustand	Neuware