AN EXAMINATION OF THE CONDITION UNDER WHICH A CONCHOIDAL SURFACE IS A BONNET SURFACE IN THE EUCLIDEAN 3-SPACE

Autor:	Gülşah Aydın Şekerci, Muradiye Çimdiker Aslan
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Physics Surface (mathematics) Conchoidal surface Conchoid Euclidean geometry Bonnet surface Geometry Mathematics::Differential Geometry Surface of revolution Computer Science::Computational Geometry Space (mathematics) Euclidean 3-space Conchoidal fracture
Popis:	In this study, we examine the condition of the conchoidal surface to be a Bonnet surface in Euclidean 3-space. Especially, we consider the Bonnet conchoidal surfaces which admit an infnite number of isometries. In addition, we study the necessary conditions which have to be fulflled by the surface of revolution with the rotating curve c(t) and its conchoid curve cd(t) to be the Bonnet surface in Euclidean 3-space.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d44fbed47c9c2249d8fae6a307d349e7 http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/89770 Zobrazit plný text záznamu