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 maps diffeomorphically onto .

# Injective Patch

## See also

Patch, Regular Patch## Explore with Wolfram|Alpha

## References

Gray, A.*Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed.*Boca Raton, FL: CRC Press, p. 273, 1997.

## Referenced on Wolfram|Alpha

Injective Patch## Cite this as:

Weisstein, Eric W. "Injective Patch."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/InjectivePatch.html