An injective patch is a Patch such that
implies that and . An
example of a Patch which is injective but not Regular is the function defined by
for . However, if
is an injective regular patch, then **x** maps
diffeomorphically onto .

**References**

Gray, A. *Modern Differential Geometry of Curves and Surfaces.*
Boca Raton, FL: CRC Press, p. 187, 1993.

© 1996-9

1999-05-26