A point on a regular surface is said to be elliptic if the Gaussian curvature or equivalently, the principal curvatures and have the same sign.

# Elliptic Point

## See also

Anticlastic, Elliptic Fixed Point, Gaussian Curvature, Hyperbolic Point, Parabolic Point, Planar Point, Synclastic## Explore with Wolfram|Alpha

## References

Gray, A.*Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed.*Boca Raton, FL: CRC Press, p. 375, 1997.

## Referenced on Wolfram|Alpha

Elliptic Point## Cite this as:

Weisstein, Eric W. "Elliptic Point." From
*MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/EllipticPoint.html