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Titlebook: Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces; Topics from Differen Steffen Fr?hlich Book 2012 Springer-Verlag Berlin

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發(fā)表于 2025-3-21 18:50:04 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces
副標(biāo)題Topics from Differen
編輯Steffen Fr?hlich
視頻videohttp://file.papertrans.cn/240/239043/239043.mp4
概述Includes supplementary material:
叢書(shū)名稱Lecture Notes in Mathematics
圖書(shū)封面Titlebook: Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces; Topics from Differen Steffen Fr?hlich Book 2012 Springer-Verlag Berlin
描述This book is intended for advanced students and young researchers interested in the analysis of partial differential equations and differential geometry. It discusses elementary concepts of surface geometry in higher-dimensional Euclidean spaces, in particular the differential equations of Gauss-Weingarten together with various integrability conditions and corresponding surface curvatures. It includes a chapter on curvature estimates for such surfaces, and, using results from potential theory and harmonic analysis, it addresses geometric and analytic methods to establish the existence and regularity of Coulomb frames in their normal bundles, which arise as critical points for a functional of total torsion.
出版日期Book 2012
關(guān)鍵詞53A07, 53A10, 35J15, 35J47, 30G20; ; curvature estimates; elementary differential geometry; normal Coulo
版次1
doihttps://doi.org/10.1007/978-3-642-29846-2
isbn_softcover978-3-642-29845-5
isbn_ebook978-3-642-29846-2Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2012
The information of publication is updating

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Bemerkungen zur epistemologischen RevolutionFrames, Cambridge University Press, Cambridge, 2002). This, of course, ensures minimality, but we are also interested in classical regularity of our frames. For this purpose we employ deep results of the theory of nonlinear elliptic systems of div-curl-type and benefit from the work of many authors:
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Coulomb Frames in the Normal Bundle of Surfaces in Euclidean SpacesTopics from Differen
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0075-8434 ferential equations and differential geometry. It discusses elementary concepts of surface geometry in higher-dimensional Euclidean spaces, in particular the differential equations of Gauss-Weingarten together with various integrability conditions and corresponding surface curvatures. It includes a
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Book 2012faces, and, using results from potential theory and harmonic analysis, it addresses geometric and analytic methods to establish the existence and regularity of Coulomb frames in their normal bundles, which arise as critical points for a functional of total torsion.
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0075-8434 methods to establish the existence and regularity of Coulomb frames in their normal bundles, which arise as critical points for a functional of total torsion.978-3-642-29845-5978-3-642-29846-2Series ISSN 0075-8434 Series E-ISSN 1617-9692
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