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

Mathematics

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