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Title of Journal: Sci China Ser AMath

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Abbravation: Science in China Series A: Mathematics

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SP Science in China Press

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10.1002/bate.200990040

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1862-2763

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Spacelike Willmore surfaces in 4dimensional Loren

Authors: Xiang Ma Peng Wang
Publish Date: 2008/08/07
Volume: 51, Issue: 9, Pages: 1561-1576
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Abstract

Spacelike Willmore surfaces in 4dimensional Lorentzian space forms a topic in Lorentzian conformal geometry which parallels the theory of Willmore surfaces in S 4 are studied in this paper We define two kinds of transforms for such a surface which produce the socalled left/right polar surfaces and the adjoint surfaces These new surfaces are again conformal Willmore surfaces For them the interesting duality theorem holds As an application spacelike Willmore 2spheres are classified Finally we construct a family of homogeneous spacelike Willmore tori

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  9. Conformal mappings and CR mappings on the Engel group
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