Select the two loops of edges that intersect the previously selected ring.
Deselect the edges that are outside of the indent for the helmet.
Open up your Edit Polygons window and tear off the Normals window by clicking on the double lines on the top of the window.
Click on the options box next to Soften/Harden and resize it, relocate it, do whatever you need to do to create a comfortable workspace. We'll be using this window often. Change the options for the Polygon Soften/Harden Edge options to be All Soft. Apply.