Complete and Compact Minimal Surfaces [electronic resource] /

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.

Bibliographic Details

Main Authors:	Yang, Kichoon. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Dordrecht : Springer Netherlands, 1989
Subjects:	Mathematics., Functions of complex variables., Differential geometry., Physics., Differential Geometry., Functions of a Complex Variable., Theoretical, Mathematical and Computational Physics.,
Online Access:	http://dx.doi.org/10.1007/978-94-009-1015-7
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