单词 second fundamental form 释义 BETA

Examples ofsecond fundamental form

Dictionary> Examples ofsecond fundamental formsecond fundamental formisn’t in the Cambridge Dictionary yet. You can help!Add a definitionIn order to prove the existence of classical solution, we need a priori estimates for the second derivatives or equivalently, thesecondfundamentalform.From theCambridge English CorpusThe above expression, a symmetric bilinear form at each point, is thesecondfundamentalform.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.The most important example is thesecondfundamentalform, defined classically as follows.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.It is often referred to as thesecondfundamentalform.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.Observe that the mean curvature is a trace, or average, of thesecondfundamentalform, for any given component.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.If the affine connection is torsion-free, then thesecondfundamentalformis symmetric.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.More abstractly, the mean curvature is the trace of thesecondfundamentalformdivided by "n" (or equivalently, the shape operator).FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.The eigenvalues of thesecondfundamentalform, represented in an orthonormal basis, are the principal curvatures of the surface.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.

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