Spacelike S-Willmore spheres in Lorentzian space forms
نویسندگان
چکیده
منابع مشابه
Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms
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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The Willmore energy for Frenet curves in quaternionic projective space HP is the generalization of the Willmore functional for immersions into S. Critical points of the Willmore energy are called Willmore curves in HP. Using a Bäcklund transformation on Willmore curves, we generalize Bryant’s result on Willmore spheres in 3–space: a Willmore sphere in HP has integer Willmore energy, and is give...
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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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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2010
ISSN: 0030-8730
DOI: 10.2140/pjm.2010.246.495