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Titlebook: Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems; Frédéric Hélein Book 2001 Springer Basel AG 2001 Finite.Loop group

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發(fā)表于 2025-3-21 16:24:28 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems
編輯Frédéric Hélein
視頻videohttp://file.papertrans.cn/236/235841/235841.mp4
叢書(shū)名稱(chēng)Lectures in Mathematics. ETH Zürich
圖書(shū)封面Titlebook: Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems;  Frédéric Hélein Book 2001 Springer Basel AG 2001 Finite.Loop group
出版日期Book 2001
關(guān)鍵詞Finite; Loop group; Meromorphic function; Microsoft Access; algebra; constant; curvature; differential geom
版次1
doihttps://doi.org/10.1007/978-3-0348-8330-6
isbn_softcover978-3-7643-6576-9
isbn_ebook978-3-0348-8330-6
copyrightSpringer Basel AG 2001
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Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems978-3-0348-8330-6
板凳
發(fā)表于 2025-3-22 00:29:28 | 只看該作者
Heavy Flavors and Exotic Hadrons. e. maps satisfyingwhich is equivalent to Δ. ∥ .. In contrast to Chapter 4, where we considered the Hopf differentialwe will also use derivatives of . of higher order. Let us first introduce some notations. We write
地板
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5#
發(fā)表于 2025-3-22 09:31:04 | 只看該作者
Elementary twistor theory for harmonic maps,. e. maps satisfyingwhich is equivalent to Δ. ∥ .. In contrast to Chapter 4, where we considered the Hopf differentialwe will also use derivatives of . of higher order. Let us first introduce some notations. We write
6#
發(fā)表于 2025-3-22 15:51:33 | 只看該作者
Wente tori,rvature lines. It leads to an overdetermined system of equations which can be solved by quadratures using elliptic integrals. And U. Abresch showed that some of the obtained immersed surfaces do close up, giving CMC tori [1] (see also [87]).
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發(fā)表于 2025-3-22 19:41:55 | 只看該作者
Working with the Hopf differential,e this property of . is invariant by conformal changes of variables, one might be interested in the behaviour of . by such a transformation. So let’s choose a conformal mapwhere Ω. is the domain of a map .:and let’s check how the corresponding function . transforms. We writefor the coordinates of Ω.
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