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The construction of the space-like surface of constant breadth

Muradi̇ye Çi̇mdi̇ker

Department of Mathematics, Kırklareli University, Kırklareli 39100, Turkey

E-mail Address: muradiyecimdiker@klu.edu.tr

Corresponding author.

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and

Yasi̇n Ünlütürk

Department of Mathematics, Kırklareli University, Kırklareli 39100, Turkey

E-mail Address: yasinunluturk@klu.edu.tr

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https://doi.org/10.1142/S0219887819500609Cited by:0 (Source: Crossref)

Abstract

The objective of this study is to define an ovaloid surface on the convex closed space-like surfaces of constant breadth when principal curvatures of these surfaces are continuous, non-vanishing functions, and to obtain some special geometrical properties of this ovaloid surface by using the radius of curvature, diameter of the surface in $E_{1}^{3}$ .

Keywords:

AMSC: 53A35, 53A55, 53B30

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