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Uniqueness theorems for free boundary mi...

Fraser, Ailana...

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Uniqueness theorems for free boundary minimal disks in space forms by Fraser, Ailana ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	We show that a minimal disk satisfying the free boundary condition in a constant curvature ball of any dimension is totally geodesic. We weaken the condition to parallel mean curvature vector in which case we show that the disk lies in a three dimensional constant curvature submanifold and is totally umbilic. These results extend to higher dimensions earlier three dimensional work of J. C. C. Nitsche and R. Souam.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1409.1632

Citation

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AMA 11th EditionReferences

Fraser, Ailana. Uniqueness theorems for free boundary minimal disks in space forms. Australian National University. September 06, 2023. Accessed November 13, 2024. https://online.provdatabase.com/cite/23489

APA 7th EditionReferences

Fraser, Ailana. (2023). Uniqueness theorems for free boundary minimal disks in space forms. Australian National University. https://online.provdatabase.com/cite/23489

Chicago 17th EditionReferences

Fraser, Ailana. Uniqueness theorems for free boundary minimal disks in space forms. Australian National University. 2023. https://online.provdatabase.com/cite/23489

HarvardReferences

Fraser, Ailana. (2023). Uniqueness theorems for free boundary minimal disks in space forms. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23489. (Accessed 13 November 2024).

Harvard AustraliaReferences

Fraser, Ailana, 2023, Uniqueness theorems for free boundary minimal disks in space forms, Australian National University, viewed 13 November 2024, <https://online.provdatabase.com/cite/23489>

MLA 9th EditionWorks Cited

Fraser, Ailana. Uniqueness theorems for free boundary minimal disks in space forms. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23489.

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