Coordinate Finite Type Rotational Surfaces in Euclidean Spaces

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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Zusammenfassung: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.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1410131B