Translating solitons foliated by spheres
2017 ◽
Vol 28
(01)
◽
pp. 1750006
◽
Keyword(s):
In this paper, we consider translating solitons in [Formula: see text] which is foliated by spheres. In three-dimensional Euclidean space, we show that such a translating soliton is a surface of revolution and the axis of revolution is parallel to the translating direction of the translating soliton. We also show that the same result holds for a higher dimension case with a hypersurface foliated by spheres in parallel hyperplanes that are perpendicular to the translating direction.
2008 ◽
Vol 17
(4)
◽
pp. 619-625
◽
Keyword(s):
1956 ◽
Vol 8
◽
pp. 256-262
◽
1993 ◽
Vol 304
(3-4)
◽
pp. 256-262
◽
Keyword(s):
1963 ◽
Vol 15
◽
pp. 157-168
◽
Keyword(s):