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n. (context mathematics English) A certain generalization of a differentiable manifold


In mathematics, a varifold is, loosely speaking, a measure-theoretic generalization of the concept of a differentiable manifold, by replacing differentiability requirements with those provided by rectifiable sets, while maintaining the general algebraic structure usually seen in differential geometry. More closely, the varifold generalize the idea of a rectifiable current. Varifolds are one of the topics of study in geometric measure theory.

Usage examples of "varifold".

Duke Dubois, as president of the International Science Foundation, directed his staff to prepare a comprehensive report on the varifold activities of the invader.