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math.DG2013
On the global existence of generalized rotational hypersurfaces with prescribed mean curvature in the Euclidean spaces, II
Takeyuki Nagasawa
In the previous paper, it has been proved that the generalized rotational hypersurfaces of O(n-1)-type and O (l+1) x O(m+1)-type, for which the mean curvature is any prescribed con…
math.DG2013
On the global existence of generalized rotational hypersurfaces with prescribed mean curvature in the Euclidean spaces. I
Katsuei Kenmotsu, Takeyuki Nagasawa
We prove that any piece of a rotational hypersurface with prescribed mean curvature function in a Euclidean space can be uniquely extended infinitely, which generalizes the results…