Minimal and Pseudo-Umbilical Rotational Surfaces in Euclidean Space E4

Uǧur Dursun; Nurettin Cenk Turgay

doi:10.1007/s00009-011-0167-z

Minimal and Pseudo-Umbilical Rotational Surfaces in Euclidean Space E⁴

Uǧur Dursun^*
, Nurettin Cenk Turgay

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Istanbul Technical University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

11 Atıf (Scopus)

Özet

In this paper we study general rotational surfaces in E⁴ whose meridian curves lie in two-dimensional planes. We firstly find all minimal general rotational surfaces by solving the differential equation that characterizes minimal general rotational surfaces. Then we determine all pseudo-umbilical general rotational surfaces in E⁴.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	497-506
Sayfa sayısı	10
Dergi	Mediterranean Journal of Mathematics
Hacim	10
Basın numarası	1
DOI'lar	https://doi.org/10.1007/s00009-011-0167-z
Yayın durumu	Yayınlandı - Şub 2013

Finansman

This work which is a part of the second author’s doctoral thesis is partially supported by Istanbul Technical University.

Finansörler
Istanbul Teknik Üniversitesi

Belgeye Erişim

10.1007/s00009-011-0167-z

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Minimal and Pseudo-Umbilical Rotational Surfaces in Euclidean Space E4",

abstract = "In this paper we study general rotational surfaces in E4 whose meridian curves lie in two-dimensional planes. We firstly find all minimal general rotational surfaces by solving the differential equation that characterizes minimal general rotational surfaces. Then we determine all pseudo-umbilical general rotational surfaces in E4.",

keywords = "developable surface, minimal surface, pseudo-umbilical surface, Rotational surface",

author = "Uǧur Dursun and Turgay, \{Nurettin Cenk\}",

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AB - In this paper we study general rotational surfaces in E4 whose meridian curves lie in two-dimensional planes. We firstly find all minimal general rotational surfaces by solving the differential equation that characterizes minimal general rotational surfaces. Then we determine all pseudo-umbilical general rotational surfaces in E4.

KW - developable surface

KW - minimal surface

KW - pseudo-umbilical surface

KW - Rotational surface

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