-
Riemannian geometry is the
branch of
differential geometry that
studies Riemannian manifolds,
defined as
smooth manifolds with a
Riemannian metric (an...
- In
differential geometry, a
Riemannian manifold or
Riemannian space (M, g), so
called after the
German mathematician Bernhard Riemann, is a real, smooth...
- Sub-Riemannian
manifold Riemannian submanifold Riemannian metric Riemannian circle Riemannian submersion Riemannian Penrose inequality Riemannian holonomy Riemann...
- In
differential geometry, a pseudo-
Riemannian manifold, also
called a semi-
Riemannian manifold, is a
differentiable manifold with a
metric tensor that...
-
Riemannian manifolds. It ****igns a
tensor to each
point of a
Riemannian manifold (i.e., it is a
tensor field). It is a
local invariant of
Riemannian metrics...
- Neo-
Riemannian theory is a
loose collection of
ideas present in the
writings of
music theorists such as
David Lewin,
Brian Hyer,
Richard Cohn, and Henry...
-
shortest path (arc)
between two
points in a surface, or more
generally in a
Riemannian manifold. The term also has
meaning in any
differentiable manifold with...
- distance, shape, volume, or
other rigidifying structure. For example, in
Riemannian geometry distances and
angles are specified, in
symplectic geometry volumes...
-
mathematical field of
Riemannian geometry, the
fundamental theorem of
Riemannian geometry states that on any
Riemannian manifold (or pseudo-
Riemannian manifold) there...
- In mathematics, a
symmetric space is a
Riemannian manifold (or more generally, a pseudo-
Riemannian manifold)
whose group of
symmetries contains an inversion...
