Generalized Rotation Surfaces in
In the present study we consider generalized rotation surfaces imbedded in an Euclidean space of four dimensions. We also give some special examples of these surfaces in . Further, the curvature properties of these surfaces are investigated. We give necessary and sufficient conditions for generalize...
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| Veröffentlicht in: | Resultate der Mathematik 2012-06, Vol.61 (3-4), p.315-327 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In the present study we consider generalized rotation surfaces imbedded in an Euclidean space of four dimensions. We also give some special examples of these surfaces in
. Further, the curvature properties of these surfaces are investigated. We give necessary and sufficient conditions for generalized rotation surfaces to become pseudo-umbilical. We also show that every general rotation surface is Chen surface in
. Finally we give some examples of generalized rotation surfaces in
. |
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| ISSN: | 1422-6383 1420-9012 |
| DOI: | 10.1007/s00025-011-0103-3 |