r-minimal hypersurfaces in space forms

Autor:	Ximin Liu, Biao-Gui Yang
Rok vydání:	2009
Předmět:	Mean curvature flow Mathematics::Algebraic Geometry Mean curvature Mathematics::Complex Variables Principal curvature Mathematical analysis General Physics and Astronomy Mathematics::Differential Geometry Geometry and Topology Space (mathematics) Curvature Mathematical Physics Mathematics
Zdroj:	Journal of Geometry and Physics. 59:685-692
ISSN:	0393-0440
DOI:	10.1016/j.geomphys.2009.02.006
Popis:	In this paper, we investigate hypersurfaces with the vanishing ( r + 1 ) th mean curvature in space forms, which are called r -minimal. We give some characteristics of r -minimal hypersurfaces in space forms. In addition, we study r -minimal hypersurfaces with two distinct principal curvatures in space forms.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b4b4b31ad5648219e2e22341ae6e6781 https://doi.org/10.1016/j.geomphys.2009.02.006 Zobrazit plný text záznamu Full Text from ScienceDirect