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Complete and Compact Minimal Surfaces [electronic resource] / by Kichoon Yang

Author
Yang, Kichoon
Published
Dordrecht : Springer Netherlands, 1989.
Physical Description
188 pages : online resource
Additional Creators
SpringerLink (Online service)
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Series
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.
Subject(s)
ISBN
9789400910157
Digital File Characteristics
text file PDF
Note
AVAILABLE ONLINE TO AUTHORIZED PSU USERS.
Part Of
Springer eBooks
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