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A metric g_(ij) which is zero for i!=j.

The operator D=-i(d+d^*), where d^* is the adjoint.

Of opposite symmetry under reflection; mirror images.

An area-preserving affine transformation. Equiaffinities include the crossed hyperbolic rotation, elliptic rotation, hyperbolic rotation, and parabolic rotation.

If an infinite number of points in the plane are all separated by integer distances, then all the points lie on a straight line.

A transformation which has only trivial invariant subsets is said to be ergodic.

The function f(beta,z)|->z^((1+cosbeta+isinbeta)/2), illustrated above for beta=0.4.

The two-dimensional Euclidean space denoted R^2.

An arbitrary rotation may be described by only three parameters.

The point of coincidence of P and P^' in Fagnano's theorem.