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Geometry V: Minimal Surfaces: 90 (Encyclopaedia of Mathematical Sciences, 90) - Softcover

 
9783642082252: Geometry V: Minimal Surfaces: 90 (Encyclopaedia of Mathematical Sciences, 90)

Synopsis

The book is an overview of the research on minimal surfaces of the last few years written by several renowned researchers. The methods used are taken from differential geometry, complex analysis, calculus of variations and the theory of partial differential equations. Readers will be graduate students and researchers in mathematics.

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From the Back Cover

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.

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