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单词 Regular Surface
释义

Regular Surface

A Subset is called a regular surface if for each point , there exists aNeighborhood of in and a Map of an Open Set onto such that

1. is differentiable,

2. is a Homeomorphism, and

3. Each map is a Regular Patch.
Any open subset of a regular surface is also a regular surface.

See also Regular Patch


References

Gray, A. ``The Definition of a Regular Surface in .'' §10.4 in Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 195-200, 1993.


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