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Topic: Embedding Flat-Surfaces-with-Cone-Points in 3-Space
Replies: 4   Last Post: Jul 1, 1996 7:13 PM

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Daniel A. Asimov

Posts: 101
Registered: 12/3/04
Re: Embedding Flat-Surfaces-with-Cone-Points in 3-Space
Posted: Jun 26, 1996 2:08 PM
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I wrote:

>Imagine a metric surface M (possibly noncompact, and possibly with boundary)
>which, in the complement of a discrete set C = C(M), is a flat Riemannian
>surface. We hold off on insisting on a particular differentiability class.
>
>We call C(M) the "conepoints" of M.
>
>At each point p of D, however, p has a neighborhood which is isometric to a

^^^^^^^^^^^^^^^^^^^^
>cone (that is, one nappe of a cone) having (total angle about p) = ang(p),
>with ang(p) unequal to 2 pi.
>
> [...]

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TYPO ALERT: The highlighted text should read

>At each point p of C

--Dan Asimov







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