Polar Transform of Spacelike Isothermic Surfaces in 4-Dimensional Lorentzian Space Forms
نویسندگان
چکیده
منابع مشابه
Polar transform of Spacelike isothermic surfaces in 4-dimensional Lorentzian space forms
The conformal geometry of spacelike surfaces in 4-dimensional Lorentzian space forms has been studied by the authors in a previous paper, where the so-called polar transform was introduced. Here it is shown that this transform preserves spacelike conformal isothermic surfaces. We relate this new transform with the known transforms (Darboux transform and spectral transform) of isothermic surface...
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Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms, a topic in Lorentzian conformal geometry which parallels the theory of Willmore surfaces in S, are studied in this paper. We define two kinds of transforms for such a surface, which produce the so-called left/right polar surfaces and the adjoint surfaces. These new surfaces are again conformal Willmore surfaces. For them holds...
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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2008
ISSN: 1422-6383,1420-9012
DOI: 10.1007/s00025-008-0317-1