Riemann surface

noun

Mathematics.

1. a geometric representation of a function of a complex variable in which a multiple-valued function is depicted as a single-valued function on several planes, the planes being connected at some of the points at which the function takes on more than one value.

Word History and Origins

Origin of Riemann surface¹

First recorded in 1890–95; named after G. F. B. Riemann

Example Sentences

In particular, she has studied "moduli spaces" of these shapes, which map all of the possible geometries of a Riemann surface into their own, new space.

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