Namespaces
Variants
Actions

Bilinear differential

From Encyclopedia of Mathematics
Revision as of 17:29, 7 February 2011 by 127.0.0.1 (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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.

References

[1] M. Schiffer, D.C. Spencer, "Functionals of finite Riemann surfaces" , Princeton Univ. Press (1954)
How to Cite This Entry:
Bilinear differential. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bilinear_differential&oldid=19114
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article