释义 |
Regular SurfaceA 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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