Riemann surface

American  

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.

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Etymology

Origin of Riemann surface

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.

From BBC