Strong (r, s)-stability in the de Sitter space. Issue 1 (30th January 2015)
- Record Type:
- Journal Article
- Title:
- Strong (r, s)-stability in the de Sitter space. Issue 1 (30th January 2015)
- Main Title:
- Strong (r, s)-stability in the de Sitter space
- Authors:
- de Lima, Henrique F.
de Sousa, Antonio F.
Velásquez, Marco Antonio L. - Abstract:
- Abstract : In this paper, we establish the notion of strong ( r, s )-stability concerning closed space-like hypersurfaces immersed with higher-order mean curvatures linearly related in the de Sitter space . In this setting, we prove that totally umbilical round spheres of are strongly ( r, s )-stable. Afterwards, we obtain sufficient geometric conditions that guarantee that a closed strongly ( r, s )-stable space-like hypersurface in must be a totally umbilical round sphere.
- Is Part Of:
- Proceedings. Volume 145:Issue 1(2015)
- Journal:
- Proceedings
- Issue:
- Volume 145:Issue 1(2015)
- Issue Display:
- Volume 145, Issue 1 (2015)
- Year:
- 2015
- Volume:
- 145
- Issue:
- 1
- Issue Sort Value:
- 2015-0145-0001-0000
- Page Start:
- 91
- Page End:
- 104
- Publication Date:
- 2015-01-30
- Subjects:
- Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=PRM ↗
- DOI:
- 10.1017/S0308210513000346 ↗
- Languages:
- English
- ISSNs:
- 0308-2105
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 2737.xml