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Titlebook: Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm; Hirotaka Fujimoto Book 1993 Springer Fachmedien Wiesbaden 1993 Gauss

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發(fā)表于 2025-3-21 16:43:41 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm
編輯Hirotaka Fujimoto
視頻videohttp://file.papertrans.cn/981/980341/980341.mp4
叢書名稱Aspects of Mathematics
圖書封面Titlebook: Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm;  Hirotaka Fujimoto Book 1993 Springer Fachmedien Wiesbaden 1993 Gauss
出版日期Book 1993
關(guān)鍵詞Gauss map; Minimum; defect relations; differential equation; holomorphic curve; minimal surfaces; modified
版次1
doihttps://doi.org/10.1007/978-3-322-80271-2
isbn_softcover978-3-322-80273-6
isbn_ebook978-3-322-80271-2Series ISSN 0179-2156
issn_series 0179-2156
copyrightSpringer Fachmedien Wiesbaden 1993
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Aspects of Mathematicshttp://image.papertrans.cn/v/image/980341.jpg
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https://doi.org/10.1007/978-3-322-80271-2Gauss map; Minimum; defect relations; differential equation; holomorphic curve; minimal surfaces; modified
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發(fā)表于 2025-3-22 14:56:46 | 只看該作者
The Gauss map of minimal surfaces in R3,In this section we investigate some basic facts in differential geometry. We begin by recalling some notions concerning a surface . immersed in .., which means that . is a connected, oriented real 2-dimensional differentiate manifold and . is a differentiable map of . into .. which has maximal rank everywhere.
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The Gauss map of complete minimal surfaces in ,Let . = (..,.....): . → .. be a minimal surface immersed in .. and .. the metric on . induced from ... According to (1.2.12) and Definition 4.2.2, the Ricci curvature Ric[..] is nonpositive. We give the following: DEFINITION 5.1.1. The (normalized) . of a minimal surface . is defined by ..
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