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Titlebook: Geometry V; Minimal Surfaces R. Osserman (Deputy Director) Book 1997 Springer-Verlag Berlin Heidelberg 1997 Differentialgeometrie.Minimalfl

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发表于 2025-3-21 18:41:40 | 显示全部楼层 |阅读模式
书目名称Geometry V
副标题Minimal Surfaces
编辑R. Osserman (Deputy Director)
视频video
丛书名称Encyclopaedia of Mathematical Sciences
图书封面Titlebook: Geometry V; Minimal Surfaces R. Osserman (Deputy Director) Book 1997 Springer-Verlag Berlin Heidelberg 1997 Differentialgeometrie.Minimalfl
描述Few people outside of mathematics are aware of the varieties of mathemat­ ical experience - the degree to which different mathematical subjects have different and distinctive flavors, often attractive to some mathematicians and repellant to others. The particular flavor of the subject of minimal surfaces seems to lie in a combination of the concreteness of the objects being studied, their origin and relation to the physical world, and the way they lie at the intersection of so many different parts of mathematics. In the past fifteen years a new component has been added: the availability of computer graphics to provide illustrations that are both mathematically instructive and esthetically pleas­ ing. During the course of the twentieth century, two major thrusts have played a seminal role in the evolution of minimal surface theory. The first is the work on the Plateau Problem, whose initial phase culminated in the solution for which Jesse Douglas was awarded one of the first two Fields Medals in 1936. (The other Fields Medal that year went to Lars V. Ahlfors for his contributions to complex analysis, including his important new insights in Nevanlinna Theory.) The second was the inno
出版日期Book 1997
关键词Differentialgeometrie; Minimalflächen; Nevanlina theory; Nevanlinna theory; Nevanlinnatheorie; Variations
版次1
doihttps://doi.org/10.1007/978-3-662-03484-2
isbn_softcover978-3-642-08225-2
isbn_ebook978-3-662-03484-2Series ISSN 0938-0396
issn_series 0938-0396
copyrightSpringer-Verlag Berlin Heidelberg 1997
The information of publication is updating

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发表于 2025-3-21 21:48:43 | 显示全部楼层
Nevanlinna Theory and Minimal Surfaces,([9]). This result was improved by many researchers in the field of differential geometry. E. Heinz studied nonflat minimal surfaces in . . which are the graph of functions on discs . .:= {(. . + . . < . .} and showed that there exists a constant . > 0 such that |.(0)| ≤ . . for the Gaussian curvatu
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Die Regeln des internationalen Geldhandels,ersion of this, which asserts that the number of exceptional values of the Gauss map of a complete nonflat regular minimal surface is at most four. Recently, several related results were given by X. Mo and R. Osserman ([49]), S. J. Kao ([48]) and M. Ru ([60]).
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Entwurf und Berechnungskonzept,own examples of such surfaces were the plane and the catenoid. The discovery by Costa [14, 15] early in the last decade, of a new example that proved to be embedded sparked a great deal of research in this area. Many new examples have been found, even families of them, as will be described below. Th
发表于 2025-3-23 01:47:27 | 显示全部楼层
Die Regeln des internationalen Geldhandels,([9]). This result was improved by many researchers in the field of differential geometry. E. Heinz studied nonflat minimal surfaces in . . which are the graph of functions on discs . .:= {(. . + . . < . .} and showed that there exists a constant . > 0 such that |.(0)| ≤ . . for the Gaussian curvatu
发表于 2025-3-23 08:31:59 | 显示全部楼层
Grenzfragen des Nerven- und Seelenlebensd functions . → ℝ depending on the . variables (. ., …, . .) ∈ . ≥ 2, the MSE can be written . where . and . . = . . . . .. Notice that this is a . equation: that is, it is linear in the second derivatives, and the coefficient matrix . is positive definite. depending only on the derivatives up to fi
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