Meaning of MANIFOLD in English

MANIFOLD

n.

In mathematics, a topological space (see topology ) with a family of local coordinate systems related to each other by certain classes of coordinate transformations .

Manifolds occur in algebraic geometry , differential equations , and classical dynamics . They are studied for their global properties by the methods of algebra and algebraic topology and form a natural domain for the global analysis of differential equations. See also tensor analysis .

Britannica Concise Encyclopedia.      Краткая энциклопедия Британика.