Symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex space forms
2019 ◽
Vol 30
(05)
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pp. 1950027
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Keyword(s):
In this paper, we obtain a sufficient and necessary condition for the existence of symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex space forms. Explicitly, we find that there does not exist any symplectic critical surface with parallel normalized mean curvature vector in two-dimensional complex space forms of nonzero constant holomorphic sectional curvature. And there exists and only exists a two-parameters family of symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex plane, which are rotationally symmetric.
2000 ◽
Vol 122
(2)
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pp. 295-317
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2016 ◽
Vol 138
(2)
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pp. 395-402
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2012 ◽
Vol 91
(2)
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pp. 215-232
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Keyword(s):
2018 ◽
Vol 49
(4)
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pp. 775-788
Keyword(s):
2013 ◽
Vol 20
(4)
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pp. 715-733