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Biharmonic Maps and Laguerre Minimal Surfaces
Joint Authors
Ali, Rosihan M.
Abu Muhanna, Yusuf
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-11
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A Laguerre surface is known to be minimal if and only if its corresponding isotropic map is biharmonic.
For every Laguerre surface Φ is its associated surface Ψ=1+u2Φ, where u lies in the unit disk.
In this paper, the projection of the surface Ψ associated to a Laguerre minimal surface is shown to be biharmonic.
A complete characterization of Ψ is obtained under the assumption that the corresponding isotropic map of the Laguerre minimal surface is harmonic.
A sufficient and necessary condition is also derived for Ψ to be a graph.
Estimates of the Gaussian curvature to the Laguerre minimal surface are obtained, and several illustrative examples are given.
American Psychological Association (APA)
Abu Muhanna, Yusuf& Ali, Rosihan M.. 2013. Biharmonic Maps and Laguerre Minimal Surfaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-502680
Modern Language Association (MLA)
Abu Muhanna, Yusuf& Ali, Rosihan M.. Biharmonic Maps and Laguerre Minimal Surfaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-502680
American Medical Association (AMA)
Abu Muhanna, Yusuf& Ali, Rosihan M.. Biharmonic Maps and Laguerre Minimal Surfaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-502680
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502680