Coordinate Finite Type Rotational Surfaces in Euclidean Spaces

Submanifolds of coordinate finite-type were introduced in [10]. A submanifold of a Euclidean space is called a coordinate finite-type submanifold if its coordinate functions are eigenfunctions of Δ. In the present study we consider coordinate finite-type surfaces in E4. We give necessary and suffici...

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Veröffentlicht in:	Filomat 2014-01, Vol.28 (10), p.2131-2140
Hauptverfasser:	Bayram, Bengü (Kılıç), Arslan, Kadri, Önen, Nergiz, Bulca, Betül
Format:	Artikel
Sprache:	eng
Schlagworte:	College mathematics Coordinate systems Curvature Euclidean space Mathematical functions Position vectors Rotation Sine function Surfaces of revolution Tangents
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description	Submanifolds of coordinate finite-type were introduced in [10]. A submanifold of a Euclidean space is called a coordinate finite-type submanifold if its coordinate functions are eigenfunctions of Δ. In the present study we consider coordinate finite-type surfaces in E4. We give necessary and sufficient conditions for generalized rotation surfaces in E4 to become coordinate finite-type. We also give some special examples.
doi_str_mv	10.2298/FIL1410131B
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source	JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; EZB-FREE-00999 freely available EZB journals
subjects	College mathematics Coordinate systems Curvature Euclidean space Mathematical functions Position vectors Rotation Sine function Surfaces of revolution Tangents
title	Coordinate Finite Type Rotational Surfaces in Euclidean Spaces
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