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A rigidity result for the graph case of ...

de Lima, Levi Lopes...

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A rigidity result for the graph case of the Penrose inequality by de Lima, Levi Lopes ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	02-08-2023
Summary	In this note we prove a global rigidity result for asymptotically flat, scalar flat Euclidean hypersurfaces with a minimal horizon lying in a hyperplane, under a natural ellipticity condition. As a consequence we obtain, in the context of the Riemannian Penrose conjecture, a local rigidity result for the family of exterior Schwarzschild solutions (viewed as graphs in Euclidean space).
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1205.1132

Citation

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AMA 11th EditionReferences

de Lima, Levi Lopes. A rigidity result for the graph case of the Penrose inequality. Australian National University. August 02, 2023. Accessed August 10, 2025. https://online.provdatabase.com/cite/9601

APA 7th EditionReferences

de Lima, Levi Lopes. (2023). A rigidity result for the graph case of the Penrose inequality. Australian National University. https://online.provdatabase.com/cite/9601

Chicago 17th EditionReferences

de Lima, Levi Lopes. A rigidity result for the graph case of the Penrose inequality. Australian National University. 2023. https://online.provdatabase.com/cite/9601

HarvardReferences

de Lima, Levi Lopes. (2023). A rigidity result for the graph case of the Penrose inequality. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/9601. (Accessed 10 August 2025).

Harvard AustraliaReferences

de Lima, Levi Lopes, 2023, A rigidity result for the graph case of the Penrose inequality, Australian National University, viewed 10 August 2025, <https://online.provdatabase.com/cite/9601>

MLA 9th EditionWorks Cited

de Lima, Levi Lopes. A rigidity result for the graph case of the Penrose inequality. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/9601.

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