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Author:   Kichoon Yang
Publisher:   Springer
Imprint:   Springer
Edition:   1989 ed.
Volume:   54
Dimensions:   Width: 15.60cm , Height: 1.20cm , Length: 23.40cm
Weight:   0.459kg
ISBN:  

9780792303992

ISBN 10:   0792303997
Pages:   188
Publication Date:   30 September 1989
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I. Complete Minimal Surfaces in Rn.- §1. Intrinsic Surface Theory.- §2 Immersed Surfaces in Euclidean Space.- §3. Minimal Surfaces and the Gauss Map.- §4. Algebraic Gauss Maps.- §5. Examples.- §6. Minimal Immersions of Punctured Compact Riemann Surfaces.- §7. The Bernstein—Osserman Theorem.- II. Compact Minimal Surfaces in Sn.- §1. Moving Frames.- §2. Minimal Two—Spheres in Sn.- §3. The Twistor Fibration.- §4. Minimal Surfaces in ?P1.- §5. Examples.- III. Holomorphic Curves and Minimal Surfaces in CPn.- §1. Hermitian Geometry and Singular Metrics on a Riemann Surface.- §2. Holomorphic Curves in ?Pn.- §3. Minimal Surfaces in a Kahler Manifold.- §4. Minimal Surfaces Associated to a Holomorphic Curve.- IV. Holomorphic Curves and Minimal Surfaces in the Quadric.- §1 Immersed Holomorphic Curves in the Two—Quadric.- §2. Holomorphic Curves in Q2.- §3. Horizontal Holomorphic Curves in SO(m)—Flag Manifolds.- §4. Associated Minimal Surfaces.- §5 Minimal Surfaces in the Quaternionic Projective Space.- V. The Twistor Method.- §1. The Hermitian Symmetric Space SO(2n)/U(m).- §2. The Orthogonal Twistor Bundle.- §3. Applications: Isotropic Surfaces and Minimal Surfaces.- §4. Self—Duality in Riemannian Four—Manifolds.

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