On the construction of harmonic and holomorphic maps between surfaces
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Publication:1134868
DOI10.1007/BF01420211zbMath0424.31009OpenAlexW2087624950MaRDI QIDQ1134868
Publication date: 1980
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/163444
homotopy classescompact Riemannian manifoldsGauss mapharmonic and holomorphic mapsmaps from surfaces to spheres
Classification of homotopy type (55P15) Global Riemannian geometry, including pinching (53C20) Potential theory on Riemannian manifolds and other spaces (31C12)
Related Items (16)
The surfaces of Delaunay ⋮ Harmonic morphisms onto Riemann surfaces and generalized analytic functions ⋮ Kink metrics in (2+1)-dimensional space-time ⋮ Topological rigid string theory and two-dimensional QCD ⋮ Axially symmetric solution to Rosen's field equations with angular momentum ⋮ Moduli spaces of lumps on real projective space ⋮ The \(L^{2}\) geometry of spaces of harmonic maps \(S^{2}\to S^2\) and \(\mathbb RP^2\to \mathbb RP^2\) ⋮ Biharmonic maps in two dimensions ⋮ Orthogonal multiplications of type \([3,4,p\), \(p\leq 12\)] ⋮ The deformed conifold as a geometry on the space of unit charge CP\(^1\) lumps ⋮ Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces ⋮ Spacelike surfaces in De Sitter 3-space and their twistor lifts ⋮ Harmonic maps of nonorientable surfaces to four-dimensional manifolds ⋮ Unnamed Item ⋮ Minimal graphs ⋮ Harmonic maps from surfaces to complex projective spaces
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