Geodesic
Isometric immersions of the hyperbolic space $H^n(-1)$ into $H^{n+1}(-1)$
Colloquium Mathematicum, Tome 79 (1999) no. 1, pp. 17-23.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 obtain a great many noncongruent examples of such isometric immersions with or without umbilic set.
DOI : 10.4064/cm-79-1-17-23
Keywords: isometric immersion, Monge-Ampère type equation, hyperbolic space

Ze-Jun Hu 1

1 
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Ze-Jun Hu. Isometric immersions of the hyperbolic space $H^n(-1)$ into $H^{n+1}(-1)$. Colloquium Mathematicum, Tome 79 (1999) no. 1, pp. 17-23. doi : 10.4064/cm-79-1-17-23. http://geodesic.mathdoc.fr/articles/10.4064/cm-79-1-17-23/

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