Some Singularities and Developable Surfaces in Galilean 3-Space

In this work we investigate singularities for the three types of developable surfaces, introduced by Izumiya and Takeuchi, in Galilean-3 space. Moreover we search thenecessary conditions of being a geodesic for principal direction curves of the rectifying developable surface.

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Journal
DergiPark (Istanbul University)
Published
2024-11-18
Primary Topic
Geometric Analysis and Curvature Flows
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Some Singularities and Developable Surfaces in Galilean 3-Space

DergiPark (Istanbul University)
Geometric Analysis and Curvature Flows
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Some Singularities and Developable Surfaces in Galilean 3-Space

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Abstract

In this work we investigate singularities for the three types of developable surfaces, introduced by Izumiya and Takeuchi, in Galilean-3 space. Moreover we search thenecessary conditions of being a geodesic for principal direction curves of the rectifying developable surface.

DergiPark (Istanbul University)
Nevşehir Hacı Bektaş Veli University (TR)
Sustainable cities and communities
Openalex Percentile: Top 39%
Geometric Analysis and Curvature Flows
Open Access PDFOpenAlex
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Some Singularities and Developable Surfaces in Galilean 3-Space · DergiPark (Istanbul University) (2024) | TGRS Research Map | TGRS