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Pseudoholomorphicity of Closed Minimal Surfaces in Constantly Curved 4-Spaces
1990
Proceedings of the American Mathematical Society
The twistor lifts of a minimal surface in a constantly curved 4-space are studied. Computing the Laplacian of the length of their differentials provides a topological condition for pseudoholomorphicity. Geometric conditions for holomorphicity of surfaces in flat spaces are found.
doi:10.2307/2047752
fatcat:w73r63ywdfejnh7t2ecfri4pa4