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Isometric immersions of the hyperbolic space $H^n(-1)$ into $H^{n+1}(-1)$
We transform the problem of determining isometric immersions from $H^n(-1)$ into $H^{n+1}(-1)$ into that of solving equations of degenerate Monge-Ampère type on the unit ball $B^n(1)$. By presenting one family of special solutions to the equations, we obt