Meaning of MANIFOLD in English


in mathematics, topological space equipped with a family of local coordinate systems that are related to each other by coordinate transformations belonging to a specified class. Manifolds occur in algebraic geometry, differential equations, and classical dynamics. They are studied for their global properties by the methods of analysis and algebraic topology, and they form natural domains for the global analysis of differential equations, particularly equations that arise in the calculus of variations.

Britannica English vocabulary.      Английский словарь Британика.