Darboux Transforms of a Harmonic Inverse Mean Curvature Surface
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-07
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The notion of a generalized harmonic inverse mean curvature surface in the Euclidean four-space is introduced.
A backward Bäcklund transform of a generalized harmonic inverse mean curvature surface is defined.
A Darboux transform of a generalized harmonic inverse mean curvature surface is constructed by a backward Bäcklund transform.
For a given isothermic harmonic inverse mean curvature surface, its classical Darboux transform is a harmonic inverse mean curvature surface.
Then a transform of a solution to the Painlevé III equation in trigonometric form is defined by a classical Darboux transform of a harmonic inverse mean curvature surface of revolution.
American Psychological Association (APA)
Moriya, Katsuhiro. 2013. Darboux Transforms of a Harmonic Inverse Mean Curvature Surface. Geometry،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-506610
Modern Language Association (MLA)
Moriya, Katsuhiro. Darboux Transforms of a Harmonic Inverse Mean Curvature Surface. Geometry No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-506610
American Medical Association (AMA)
Moriya, Katsuhiro. Darboux Transforms of a Harmonic Inverse Mean Curvature Surface. Geometry. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-506610
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506610