  The cranked relativistic Hartree+Bogoliubov theory has been applied for a
systematic study of the nuclei around 254No, the heaviest nuclei for which
detailed spectroscopic data are available. The deformation, rotational
response, pairing correlations, quasi-particle and other properties of these
nuclei have been studied with different relativistic mean field (RMF)
parametrizations. For the first time, the quasi-particle spectra of odd
deformed nuclei have been calculated in a fully self-consistent way within the
framework of the RMF theory. The energies of the spherical subshells, from
which active deformed states of these nuclei emerge, are described with an
accuracy better than 0.5 MeV for most of the subshells with the NL1 and NL3
parametrizations. However, for a few subshells the discrepancy reach 0.7-1.0
MeV. The implications of these results for the study of superheavy nuclei are
discussed.
