Journal of Siberian Federal University. Mathematics & Physics / Explicit Variational Formulas for Third-order Equations on Riemann Surfaces

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2013 6 (3)
Authors
Tulina, Marina I.
Contact information
Tulina, Marina I.: Gorno-Altaisk State University, Lenkin, 1, Gorno-Altaisk, Altai Republic, 649000 Russia; e-mail:
Keywords
holomorphic cubic differentials; compact Riemann surface; variational formulas; differential equation of third order; monodromy group
Abstract

In this paper we deduce explicit variational formulas for the solution of an ordinary differential equation of third order and its monodromy group with respect to a variation in the space of cubic holomorphic differentials on a compact Riemann surface.

Pages
365-375
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/9896