English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper we are investigated the monodromy group for linearlypolymorphic functions on compact Riemann surface of genus $g \geq 2,$ inconnection with standard uniformization of these surfaces by Kleinian groups,and are found a neccessary and sufficients conditions, that a linearlypolymorphic function on compact Riemann surface gave a standard uniformizationof this surface. We are investigated the monodromy mapping $p : {\bf T}_{g}Q\rightarrow \mathcal{M},$ where ${\bf T}_{g}Q$ is a vector bundle ofholomorphic quadratic abelian differentials over the Teichmueller space ofcompact Riemann surfaces of genus $g,$ $\mathcal{M}$ is a space of monodromygroups for of genus $g.$ Here is proved that over any space, which consist fromquasiconformal deformations by Koebe group of signature $\sigma = (h, s;i_{1},..., i_{m}),$ connected with standard uniformization compact Riemannsurface of genus $g = |\sigma|,$ this mapping $p$ has the lifting of pathproperty . Also we are received exact variational formula for monodromy groupof the linear differential equation of the second order and the first variationfor solution of the Schwartz equation on compact Riemann surface.

Projective structures and exact variational formula of monodromy group of the linear differential equations on compact Riemann surface