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- W2949396402 abstract "We deal here with the geometry of the twistor fibration $mathcal{Z} to bb{S}^3_1$ over the De Sitter 3-space. The total space $mathcal{Z}$ is a five dimensional reductive homogeneous space with two canonical invariant almost CR structures. Fixed the normal metric on $mathcal{Z}$ we study the harmonic map equation for smooth maps of Riemann surfaces into $mathcal{Z}$. A characterization of spacelike surfaces with harmonic twistor lifts to $mathcal{Z}$ is obtained. It is also shown that the harmonic map equation for twistor lifts can be formulated as the curvature vanishing of an $bb{S}^1$-loop of connections i.e. harmonic twistor lifts exist within $bb{S}^1$-families. Special harmonic maps such as holomorphic twistor lifts are also considered and some remarks concerning (compact) vacua of the twistor energy are given." @default.
- W2949396402 created "2019-06-27" @default.
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- W2949396402 date "2009-10-29" @default.
- W2949396402 modified "2023-09-27" @default.
- W2949396402 title "Spacelike surfaces in De Ditter 3-space and their twistor lifts" @default.
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