manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n {\displaystyle n} -dimensional manifold,...
68 KB (9,498 words) - 05:38, 16 July 2024
In differential geometry, a Riemannian manifold is a geometric space on which many geometric notions such as distance, angles, length, volume, and curvature...
59 KB (8,676 words) - 01:17, 20 August 2024
differential geometry, a Calabi–Yau manifold, also known as a Calabi–Yau space, is a particular type of manifold which has properties, such as Ricci flatness...
24 KB (3,212 words) - 14:57, 9 August 2024
mathematical physics, a pseudo-Riemannian manifold, also called a semi-Riemannian manifold, is a differentiable manifold with a metric tensor that is everywhere...
9 KB (1,164 words) - 03:07, 18 June 2024
In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow...
67 KB (9,495 words) - 02:22, 11 July 2024
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...
45 KB (5,836 words) - 09:37, 24 April 2024
The manifold hypothesis posits that many high-dimensional data sets that occur in the real world actually lie along low-dimensional latent manifolds inside...
8 KB (621 words) - 06:27, 1 August 2024
In mathematics and especially differential geometry, a Kähler manifold is a manifold with three mutually compatible structures: a complex structure, a...
33 KB (4,736 words) - 02:51, 10 August 2024
mathematics. All manifolds are topological manifolds by definition. Other types of manifolds are formed by adding structure to a topological manifold (e.g. differentiable...
17 KB (2,041 words) - 19:00, 28 June 2024
geometry. Manifold may also refer to: Manifold (comics), a fictional character in Marvel Comics publications Manifold Records, a record label Manifold Trilogy...
3 KB (381 words) - 15:35, 10 March 2024