Bilinear differential
From Encyclopedia of Mathematics
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
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