4 citations · 5 across the 6 of their papers we have counts for
7 papers · 1 filter
Elementary proof of a Lemma for parallel mean curvature surfaces in complex space forms
Katsuei Kenmotsu
We provide an elementary proof of a lemma that plays an important role in the classification of parallel mean curvature surfaces in two-dimensional complex space forms.
Special Liouville metric with the Ricci condition
Katsuei Kenmotsu
Two necessary conditions for the induced metrics of parallel mean curvature surfaces in a complex space form of complex two-dimension are observed. One is similar to the Ricci cond…
Complete parallel mean curvature surfaces in two-dimensional complex space-forms
Katsuei Kenmotsu
The purpose of this article is to determine explicitly the complete surfaces with parallel mean curvature vector, both in the complex projective plane and the complex hyperbolic pl…
Parallel mean curvature tori in and
Katsuei Kenmotsu
We explicitly determine tori that have a parallel mean curvature vector, both in the complex projective plane and the complex hyperbolic plane
Correction to "The classification of the surfaces with parallel mean curvature vector in two-dimensional complex space forms"
K. Kenmotsu
We give a condition under which the findings of the paper cited above work well and determine the surfaces that were not considered before. In this paper, we show that a parallel m…
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…