Naslov
Structure Functions of Ruled Surfaces with Null Rulings

Autori
Primorac Gajčić, Ljiljana ; Milin Šipuš, Željka ; Protrka, Ivana

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of the 18th International Conference on Geometry and Graphics (ICGG 2018) / Cocchiarella, Luigi - Milano : Springer, 2019, 371-380

ISBN
978-3-319-95587-2

Skup
18th International Conference on Geometry and Graphics (ICGG 2018 )

Mjesto i datum
Milano, Italija, 03.07.2018. - 07.07.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Minkowski space, isometry, ruled surface, B-scroll

Sažetak
In this paper we analyse ruled surfaces in Lorentz-Minkowski space in terms of their structure functions. We are especially interested in ruled surfaces which do not have a Euclidean counterpart, that is, surfaces with null rulings, and in particular, so-called B- scrolls. For ruled surfaces in Lorentz- Minkowski space, we establish relations between their structure functions and curvatures. Structure functions can be used for e.g. proving the classical Dini-Beltrami theorem which states (in Euclidean space) that a ruled skew Weingarten surface is a piece of a helicoidal surface. In Lorentz-Minkowski space, the problem is more complex, due to the different types of surfaces with respect to their inherited metrics. It turns out that all null-ruled surfaces are Weingarten, however their structure functions need not be constant. In this paper we analyse helicoidal surfaces among Weingarten null-ruled surfaces in terms of their structure functions.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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