Discriminants, resultants, and multidimensional

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Language: English

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For $N$ contained in a hyperplane $L$, we show that $N\subset M$ is umbilic if and only if $N\subset L$ is an affine sphere and the envelope of tangent spaces is a cone. Requires Firefox or Google Chrome as a browser; unfortunately it fails in Internet Explorer. Holbein's The Ambassadors (1533) is a famous example of anamorphosis. What are the most important and basic theorems here? The most obvious construction is that of a Lie algebra which is the tangent space at the unit endowed with the Lie bracket between left-invariant vector fields.

Pages: 452

Publisher: Boston, BirkhŠuser, [ (1994)

ISBN: 3764336609

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