Here, the largest circle is taken as having negative curvature with respect to the other three.
Because the part of the 5-flux lying in AdS5 contains a time component, it gives rise to negative curvature.
The equations for negative spatial curvature were given by Friedmann in 1924.
The reader will find it hard to picture the surface N continuing everywhere with equal negative curvature.
The pseudosphere is an example of a surface with constant negative Gaussian curvature.
The universe seems "low density" and therefore of negative spatial curvature.
Therefore the condition of negative curvature at a maximum is equivalent to the statements:
This circle is in the interior of circle with negative curvature.
They behave more like manifolds of negative curvature, but remain poorly understood in many regards.
What is the difference between negative and positive curvature?