Zathura is a simple, functional PDF viewer thats highly customizable, below are some common shortcuts / tips

a - page fit 
s - fit width
r - rotate pages 
d - side-by-side mode 
Ctrl-r - Invert Colors 
Tab - show index 
f - follow links

along with above most of the vi's key bindings for movement / scrolling work, look at the Zathura man page for more keybindings

References

Zathura Arch wiki page
Documentation