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Two flavor Nambu-Jona-Lasinio model with N components is studied in curvedspace time at finite temperature and density in the leading 1/N expansion. Infour space time dimension the model exhibits first order phase transition forpositive curvature. Whereas in flat space an increase in temperature induces asecond order phase transition even at finite density, in curved space thetransition becomes first order. We obtain the phase boundary indensity-temperature plane and exhibit its behavior with changing curvature. Athree dimensional plot of the phase boundary in $\mu$-T-R space is drawn.Comment: LaTex2e file with 7 postscript figures, 18 page

Nambu-Jona-Lasinio model in four dimensions at finite temperatures; chemical potential and curvature