Details

Autor(en) / Beteiligte

• Xin, Y. L.

Titel

Curvature estimates for submanifolds with prescribed Gauss image and mean curvature

Ist Teil von

• Calculus of variations and partial differential equations, 2010-03, Vol.37 (3-4), p.385-405

Ort / Verlag

Berlin/Heidelberg: Springer-Verlag

Erscheinungsjahr

2010

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We study that the n -graph defined by a smooth map in of the prescribed mean curvature and the Gauss image. Under the condition we derive the interior curvature estimates when 2 ≤ n ≤ 5 with constant C depending on the given geometric data. If there is no dimension limitation we obtain with a  < 1. If the image under the Gauss map is contained in a geodesic ball of the radius in G n , m we also derive corresponding estimates.