This method actually doesn't get placed in the class structure, but rather in the GeoMatrix during its creation. Again, the implementation in Trivial.c is boilerplate; the only thing a subclass needs to do is change the tested widget class:
Boolean
trivial_NoGeoRequest(XmGeoMatrix geo)
{
if (BB_InSetValues(geo->composite) &&
XtClass(geo->composite) == xmTrivialWidgetClass)
return TRUE;
return FALSE;
}