The overviemap is a special map created by the overview control.
But it is still a normal map that can have layers and so also vectors on
top.
To acces the map of the overview control you have to use the ovmap property
of your ov-control

i.e.

  var map = new OpenLayers.Map('map');

  var overview = new OpenLayers.Control.OverviewMap();
  map.addControl(overview);
  
  //this is the overview map
  var ovMap = overview.ovmap;


also see: 
http://dev.openlayers.org/releases/OpenLayers-2.11/doc/apidocs/files/OpenLayers/Control/OverviewMap-js.html
http://openlayers.org/dev/examples/overviewmap.html

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