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

^*Corresponding author for this work

Department of Mathematics Engineering

Istanbul Technical University

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

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.

Original language	English
Pages (from-to)	497-506
Number of pages	10
Journal	Mediterranean Journal of Mathematics
Volume	10
Issue number	1
DOIs	https://doi.org/10.1007/s00009-011-0167-z
Publication status	Published - Feb 2013

Funding

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

Funders
Istanbul Teknik Üniversitesi

Keywords

developable surface
minimal surface
pseudo-umbilical surface
Rotational surface

Access to Document

10.1007/s00009-011-0167-z

Cite this

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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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AU - 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.

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KW - minimal surface

KW - pseudo-umbilical surface

KW - Rotational surface

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