Summary
C∞ — isometric imbeddings of the hyperbolic plane and of the two types of orientable cylinders with hyperbolic metric in spherical8-space are constructed, furthermore C∞ — isometric imbeddings of the non-orientable cylinder with hyperbolic metric in Euclidean8-space and in spherical10-space.
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D. Blanuša,Über die Einbettung hyperbolischer Räume in euklidische Räume. Monatshefte für Mathematik59 (1955), 217–229.
—— ——,C ∞-Isometric Imbeddings of Cylinders with Hyperbolic Metric in Euclidean 7-Space. Glasnik mat.-fiz. i. astr.11 (1956), 243–246.
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To Enrico Bompiani on his scientific Jubilee.
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Blanusa, D. C ∞-isometric imbeddings of the hyperbolic plane and of cylinders with hyperbolic metric in spherical spaces. Annali di Matematica 57, 321–337 (1962). https://doi.org/10.1007/BF02417747
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DOI: https://doi.org/10.1007/BF02417747