Complete and Compact Minimal Surfaces

✍ Scribed by Kichoon Yang (auth.)

Publisher: Springer Netherlands
Year: 1989
Tongue: English
Leaves: 188
Series: Mathematics and Its Applications 54
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

These notes contain an exposition of the theory of minimal surfaces without boundary. There have been many exciting recent developments in the study of minimal surfaces in various Riemannian manifolds and soment some of these materials presented from a consistent perspective. Main tools used are the method of moving frames and the theory of compact Riemann surfaces.

✦ Table of Contents

Front Matter....Pages i-xii
Complete Minimal Surfaces in R n ....Pages 1-45
Compact Minimal Surfaces in S n ....Pages 46-79
Holomorphic Curves and Minimal Surfaces in ℂP n ....Pages 80-109
Holomorphic Curves and Minimal Surfaces in the Quadric....Pages 110-136
The Twistor Method....Pages 137-151
Back Matter....Pages 153-175

✦ Subjects

Differential Geometry; Functions of a Complex Variable; Theoretical, Mathematical and Computational Physics

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