The curved intersected inner C-N layers have been observed inside nanofibers, formed in the High Isostatic Pressure (HIP) apparatus. The threshold field strength value of about 1V/mkm for the field electron emission, measured in the present study, falls among best values, found for graphite-like materials. The electron emission depends on peculiarities of the energy band diagram of the material and on the amount of band bending at the surface. Significant curvature of nanocarbons, produced with the participation of nitrogen and containing C-N bonds, is responsible for improved emission properties of our deposit. Close to the spherical shape of many fragments and numerous curved surfaces of our fibers allow not to orient them along the electric field, because such fragments will emit electrons at any orientation.