JP Journal of Geometry and Topology
Volume 21, Issue 3, Pages 247 - 253
(August 2018) http://dx.doi.org/10.17654/GT021030247 |
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ON TOTALLY UMBILICAL ISOMETRIC IMMERSION WITH A SPECIAL KIND OF LIOUVILLE’S METRIC IN THE R3 SPACE
Alexander Pigazzini
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Abstract: The aim of this short article is to investigate the possibility of existence of totally umbilical isometric immersions in R3 with isothermal parametrization and harmonic metric. |
Keywords and phrases: harmonic metric, isothermal coordinates, Liouvilles metric, totally umbilical immersions. |
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