On Hopf hypersurfaces of the homogeneous nearly Kähler $${\mathbf {S}}^3\times {\mathbf {S}}^3$$, II

2021 ◽  
Author(s):  
Zeke Yao ◽  
Zejun Hu
Keyword(s):  
Hopf Hypersurfaces ◽  
Nearly Kähler

On almost complex curves and Hopf hypersurfaces in the nearly Kähler six-sphere

2014 ◽  
Vol 57 (5) ◽  
pp. 1045-1056 ◽  
Author(s):  
Ling He ◽  
XiaoXiang Jiao ◽  
XianChao Zhou
Keyword(s):  
Complex Curves ◽  
Hopf Hypersurfaces ◽  
Almost Complex ◽  
Nearly Kähler

On the nonexistence and rigidity for hypersurfaces of the homogeneous nearly Kähler S3×S3

2021 ◽  
Vol 75 ◽  
pp. 101717
Author(s):  
Zejun Hu ◽  
Marilena Moruz ◽  
Luc Vrancken ◽  
Zeke Yao
Keyword(s):  
Nearly Kähler

scholarly journals Transverse J-holomorphic curves in nearly Kähler $$\mathbb {CP}^3$$

2021 ◽  
Author(s):  
Benjamin Aslan
Keyword(s):  
Minimal Surfaces ◽  
Type Theorem ◽  
Holomorphic Curves ◽  
Nearly Kähler ◽  
Flat Tori

AbstractJ-holomorphic curves in nearly Kähler $$\mathbb {CP}^3$$ CP 3 are related to minimal surfaces in $$S^4$$ S 4 as well as associative submanifolds in $$\Lambda ^2_-(S^4)$$ Λ - 2 ( S 4 ) . We introduce the class of transverse J-holomorphic curves and establish a Bonnet-type theorem for them. We classify flat tori in $$S^4$$ S 4 and construct moment-type maps from $$\mathbb {CP}^3$$ CP 3 to relate them to the theory of $$\mathrm {U}(1)$$ U ( 1 ) -invariant minimal surfaces on $$S^4$$ S 4 .

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