Convex Combinations of Minimal Graphs
Joint Authors
Viertel, Ryan
Dorff, Michael
Wołoszkiewicz, Magdalena
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-15
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Given a collection of minimal graphs, M1,M2,…,Mn, with isothermal parametrizations in terms of the Gauss map and height differential, we give sufficient conditions on M1,M2,…,Mn so that a convex combination of them will be a minimal graph.
We will then provide two examples, taking a convex combination of Scherk's doubly periodic surface with the catenoid and Enneper's surface, respectively.
American Psychological Association (APA)
Dorff, Michael& Viertel, Ryan& Wołoszkiewicz, Magdalena. 2012. Convex Combinations of Minimal Graphs. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-493532
Modern Language Association (MLA)
Dorff, Michael…[et al.]. Convex Combinations of Minimal Graphs. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-493532
American Medical Association (AMA)
Dorff, Michael& Viertel, Ryan& Wołoszkiewicz, Magdalena. Convex Combinations of Minimal Graphs. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-493532
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493532