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A+ CATEGORY SCIENTIFIC UNIT

Isometric immersions of the hyperbolic space into H^{n+1}(-1)

Volume 79 / 1999

Ze-Jun Hu Colloquium Mathematicum 79 (1999), 17-23 DOI: 10.4064/cm-79-1-17-23

Abstract

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.

Authors

  • Ze-Jun Hu

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