-
manifold is a
topological space that
locally resembles Euclidean space near each point. More precisely, an n {\displaystyle n} -dimensional
manifold,...
- In mathematics, a
differentiable manifold (also
differential manifold) is a type of
manifold that is
locally similar enough to a
vector space to allow...
- In
differential geometry, a
Riemannian manifold is a
geometric space on
which many
geometric notions such as distance, angles, length, volume, and curvature...
-
differential geometry, a Calabi–Yau
manifold, also
known as a Calabi–Yau space, is a
particular type of
manifold which has
certain properties, such as...
-
mathematical physics, a pseudo-Riemannian
manifold, also
called a semi-Riemannian
manifold, is a
differentiable manifold with a
metric tensor that is everywhere...
- mathematics. All
manifolds are
topological manifolds by definition.
Other types of
manifolds are
formed by
adding structure to a
topological manifold (e.g. differentiable...
- The
manifold hypothesis posits that many high-dimensional data sets that
occur in the real
world actually lie
along low-dimensional
latent manifolds inside...
- In mathematics, a 3-
manifold is a
topological space that
locally looks like a three-dimensional
Euclidean space. A 3-
manifold can be
thought of as a possible...
-
differential geometry, a
subject of mathematics, a
symplectic manifold is a
smooth manifold, M {\displaystyle M} ,
equipped with a
closed nondegenerate...
- In
mathematics and
especially differential geometry, a Kähler
manifold is a
manifold with
three mutually compatible structures: a
complex structure, a...
