# Definition of Manifold. Meaning of Manifold. Synonyms of Manifold

Here you will find one or more explanations in English for the word Manifold. Also in the bottom left of the page several parts of wikipedia pages related to the word Manifold and, of course, Manifold synonyms and on the right images related to the word Manifold.

## Definition of Manifold

Manifold
Manifold Man"i*fold, a. [AS. manigfeald. See Many, and Fold.] 1. Various in kind or quality; many in number; numerous; multiplied; complicated. O Lord, how manifold are thy works! --Ps. civ. 24. I know your manifold transgressions. --Amos v. 12. 2. Exhibited at divers times or in various ways; -- used to qualify nouns in the singular number. ``The manifold wisdom of God.' --Eph. iii. 10. ``The manifold grace of God.' --1 Pet. iv. 10. Manifold writing, a process or method by which several copies, as of a letter, are simultaneously made, sheets of coloring paper being infolded with thin sheets of plain paper upon which the marks made by a stylus or a type-writer are transferred.
Manifold
Manifold Man"i*fold, n. 1. A copy of a writing made by the manifold process. 2. (Mech.) A cylindrical pipe fitting, having a number of lateral outlets, for connecting one pipe with several others. 3. pl. The third stomach of a ruminant animal. [Local, U.S.]
Manifold
Manifold Man"i*fold, v. t. [imp. & p. p. Manifolded; p. pr. & vb. n. Manifolding.] To take copies of by the process of manifold writing; as, to manifold a letter.

## Meaning of Manifold from wikipedia

- 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 properties, such as Ricci flatness...
- mathematical physics, a pseudo-Riemannian manifold, also called a semi-Riemannian manifold, is a differentiable manifold with a metric tensor that is everywhere...
- The manifold hypothesis posits that many high-dimensional data sets that occur in the real world actually lie along low-dimensional latent manifolds inside...
- mathematics. All manifolds are topological manifolds by definition. Other types of manifolds are formed by adding structure to a topological manifold (e.g. differentiable...
- 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...
- In mathematics, an algebraic manifold is an algebraic variety which is also a manifold. As such, algebraic manifolds are a generalisation of the concept...