Rotational surfaces in higher dimensional Euclidean spaces

In the present study we consider the generalized rotational surfaces in Euclidean m -space E m . Firstly, we introduce some basic concepts of second fundamental form and curvatures of the surfaces in E m . Further, we obtained some basic properties of generalized rotational surfaces in E m and some...

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Bibliographic Details
Published inRendiconti del Circolo matematico di Palermo Vol. 67; no. 1; pp. 59 - 66
Main Authors Arslan, K., Bayram, B., Bulca, B., Kosova, D., Öztürk, G.
Format Journal Article
LanguageEnglish
Published Milan Springer Milan 01.04.2018
Springer Nature B.V
Subjects
Algebra
Analysis
Applications of Mathematics
Euclidean geometry
Geometry
Mathematics
Mathematics and Statistics
Generalized tractrix
53C42
rotational surface
53C40
Gaussian curvature
Beltrami surface
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Summary:In the present study we consider the generalized rotational surfaces in Euclidean m -space E m . Firstly, we introduce some basic concepts of second fundamental form and curvatures of the surfaces in E m . Further, we obtained some basic properties of generalized rotational surfaces in E m and some results related with their curvatures. Finally, we give some examples of generalized rotational surfaces in Euclidean 5-space E 5 .
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-016-0292-4