Bilinear differential

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An analytic differential on a Riemann surface, depending on two points and , and having the form

where and are local uniformizing parameters in a neighbourhood of and respectively, and is an analytic function of and . Bilinear differentials are used to express many functionals on a finite Riemann surface.


[1] M. Schiffer, D.C. Spencer, "Functionals of finite Riemann surfaces" , Princeton Univ. Press (1954)
How to Cite This Entry:
Bilinear differential. E.D. Solomentsev (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098