Half-space theorems for properly immersed surfaces in $${\mathbb {R}}^{3}$$ with prescribed mean curvature

Author:

Bueno AntonioORCID

Funder

Ministerio de Ciencia e Innovación

Consejería de Economía, Innovación, Ciencia y Empleo, Junta de Andalucía

Ministerio de Economía, Industria y Competitividad, Gobierno de España

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference11 articles.

1. Alexandrov, A.D.: Uniqueness theorems for surfaces in the large, I, Vestnik Leningrad Univ. 11, 5–17 (1956). (English translation): Am. Math. Soc. Transl. 21 (1962), 341–354

2. Bueno, A., Gálvez, J.A., Mira, P.: Rotational hypersurfaces of prescribed mean curvature, preprint. arxiv:1902.09405

3. Bueno, A., Gálvez, J.A., Mira, P.: The global geometry of surfaces with prescribed mean curvature in $${{\mathbb{R}}}^3$$, preprint. arxiv:1802.08146

4. Bueno, A.: The Björling problem for prescribed mean curvature surfaces in $${\mathbb{R}}^3$$, Ann. Glob. Ann. Geom. https://doi.org/10.1007/s10455-019-09657-w

5. Christoffel, E.B.: Über die Bestimmung der Gestalt einer krummen Oberfläche durch lokale Messungen auf derselben. J. Reine Angew. Math. 64, 193–209 (1865)

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