Rad HAZU, Matematičke znanosti, Vol. 23 (2019), 107-122.

MINDING ISOMETRIES OF RULED SURFACES IN LORENTZ-MINKOWSKI SPACE

Ljiljana Primorac Gajčić and Željka Milin Šipuš

Department of Mathematics, University of Osijek, 31 000 Osijek, Croatia
e-mail: ljiljana.primorac@mathos.hr

Faculty of Science, Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia
e-mail: milin@math.hr

Abstract.   In this paper we study isometries of ruled surfaces in the Lorentz-Minkowski space that preserve rulings. A special attention is given to the classes of surfaces having no Euclidean counterparts. We also construct some examples of isometric ruled surfaces with certain properties and rulings preserved.

2010 Mathematics Subject Classification.   53A35, 53B30, 53C50.

Key words and phrases.   Lorentz-Minkowski space, isometry, ruled surface, B-scroll.

Full text (PDF) (free access)

DOI: https://doi.org/10.21857/y54jofpplm

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