Meaning of MANIFOLD in English


In mathematics, a topological space (see topology ) with a family of local transformations .

Manifolds occur in algebraic geometry , differential equations , and classical {{link=dynamics">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 English dictionary.      Английский словарь Британика.