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＜電子ブック＞
Geometry V : Minimal Surfaces / edited by Robert Osserman
(Encyclopaedia of Mathematical Sciences ; 90)

版	1st ed. 1997.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1997
本文言語	英語
大きさ	IX, 272 p : online resource
著者標目	Osserman, Robert editor SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Mathematical analysis LCSH:Functions of complex variables LCSH:System theory LCSH:Control theory LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Differential Geometry FREE:Analysis FREE:Functions of a Complex Variable FREE:Systems Theory, Control FREE:Calculus of Variations and Optimization
一般注記	I. Complete Embedded Minimal Surfaces of Finite Total Curvature -- II. Nevanlinna Theory and Minimal Surfaces -- III. Boundary Value Problems for Minimal Surfaces -- IV. The Minimal Surface Equation -- Author Index Osserman (Ed.) Geometry V Minimal Surfaces The theory of minimal surfaces has expanded in many directions over the past decade or two. This volume gathers in one place an overview of some of the most exciting developments, presented by five of the leading contributors to those developments. Hirotaka Fujimoto, who obtained the definitive results on the Gauss map of minimal surfaces, reports on Nevanlinna Theory and Minimal Surfaces. Stefan Hildebrandt provides an up-to-date account of the Plateau problem and related boundary-value problems. David Hoffman and Hermann Karcher describe the wealth of results on embedded minimal surfaces from the past decade, starting with Costa's surface and the subsequent Hoffman-Meeks examples. Finally, Leon Simon covers the PDE aspect of minimal surfaces, with a survey of known results both in the classical case of surfaces and in the higher dimensional case. The book will be very useful as a reference and research guide to graduate students and researchers in mathematics HTTP:URL=https://doi.org/10.1007/978-3-662-03484-2

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