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Titlebook: Geometric Inequalities; Yuriĭ Dmitrievich Burago,Viktor Abramovich Zalgall Book 1988 Springer-Verlag Berlin Heidelberg 1988 Mean curvature

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书目名称Geometric Inequalities
编辑Yuriĭ Dmitrievich Burago,Viktor Abramovich Zalgall
视频video
丛书名称Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Geometric Inequalities;  Yuriĭ Dmitrievich Burago,Viktor Abramovich Zalgall Book 1988 Springer-Verlag Berlin Heidelberg 1988 Mean curvature
出版日期Book 1988
关键词Mean curvature; curvature; differential equation; linear optimization; manifold
版次1
doihttps://doi.org/10.1007/978-3-662-07441-1
isbn_softcover978-3-642-05724-3
isbn_ebook978-3-662-07441-1Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag Berlin Heidelberg 1988
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978-3-642-05724-3Springer-Verlag Berlin Heidelberg 1988
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Geometric Inequalities978-3-662-07441-1Series ISSN 0072-7830 Series E-ISSN 2196-9701
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Assays in Endocrine Safety Pharmacology is said to be ., if . is an embedding. Any simple surface may be determined by the set of point . (.), then the latter plays the role of ., while the role of . is played by the inclusion map. For a non-simple surface, knowledge of the map . is essential for the theory of area, since the surface may be self-overlapping.
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Riemannian Manifolds,t], [Eis], [Ras], [BiC], [KoN], [Sp], [Wo], [GKM], [dCar], [GLP], [K 1]. Our notations are closer to [GKM]. The variational theory of geodesics is used in an essential way. Its exposition may be found in the books [Mil 2], [Pos]. Comparison theorems are developed in part in [GKM], [K 1], [ChE], [BiC], [KoN].
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https://doi.org/10.1007/978-3-540-89891-7. = ∂./∂.. constitute a basis in the tangent .-dimensional plane . to (., .) at the point .. When . > . we can choose an orthonormed basis (..,..., ..) in the (. − .)-dimensional orthogonal complement . to .. Each unit normal . ∈ . can be assigned the second fundamental form of the .-dimensional sur
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