hyperbolic geometry

He was referring to his own work which today we call hyperbolic geometry.

In fact it is known as the hyperboloid model of hyperbolic geometry.

It could, in the absence of dark energy, occur only under a flat or hyperbolic geometry.

In hyperbolic geometry, squares with right angles do not exist.

In the field of hyperbolic geometry, she is known for the Collar lemma.

These have proven to be very important in the study of manifolds and hyperbolic geometry.

The four models of 2-dimensional hyperbolic geometry that emerged were:

The relevant structure is now called the hyperboloid model of hyperbolic geometry.

Chapters 1 to 3 mostly describe basic background material on hyperbolic geometry.

In hyperbolic geometry, the angle deficit is likewise proportional to area.

This is called an 'asymptotic line' in hyperbolic geometry.

The terms horosphere and horoball are often used in 3-dimensional hyperbolic geometry.

The pseudosphere has the appropriate curvature to model hyperbolic geometry.

Their attempts failed, but their efforts gave birth to hyperbolic geometry.

In hyperbolic geometry, the angle of parallelism varies with the function.

There are three equivalent representations commonly used in two-dimensional hyperbolic geometry.

Two years later he wrote on computations in hyperbolic geometry in the same journal.

In hyperbolic geometry, an ideal point is also called an omega point.

The first-order theory of hyperbolic geometry, established by Schwabhäuser in 1959.

Some Escher graphics are based on them (for the disc model of hyperbolic geometry).

We briefly present some facts from hyperbolic geometry which are helpful in understanding prime geodesics.

Morley's theorem does not hold in spherical and hyperbolic geometry.

In the theory of Riemann surfaces and hyperbolic geometry, the triangle group (2,3,7) is particularly important.

This results in a surface possessing hyperbolic geometry.

Rather, squares in hyperbolic geometry have angles of less than right angles.