14 citations · 22 across the 4 of their papers we have counts for
7 papers · 1 filter
New characterizations of the Whitney spheres and the contact Whitney spheres
Zejun Hu, Cheng Xing
In this paper, based on the classical K. Yano's formula, we first establish an optimal integral inequality for compact Lagrangian submanifolds in the complex space forms, which inv…
On product minimal Lagrangian submanifolds in complex space forms
Xiuxiu Cheng, Zejun Hu, Marilena Moruz +1
In this paper we consider minimal Lagrangian submanifolds in -dimensional complex space forms. More precisely, we study such submanifolds which, endowed with the induced metrics…
Hypersurfaces of the homogeneous nearly Kähler and with anticommutative structure tensors
Zejun Hu, Zeke Yao, Xi Zhang
Each hypersurface of a nearly Kähler manifold is naturally equipped with two tensor fields of -type, namely the shape operator and the induced almost contact structure $…
On Hopf hypersurfaces of the homogeneous nearly Kähler
Zejun Hu, Zeke Yao
In this paper, extending our previous joint work (Hu et al., Math Nachr 291:343--373, 2018), we initiate the study of Hopf hypersurfaces in the homogeneous NK (nearly Kähler) manif…
Rigidity theorems of Lagrangian submanifolds in the homogeneous nearly Kähler
Zejun Hu, Jiabin Yin, Bangchao Yin
In this paper, we study Lagrangian submanifolds of the homogeneous nearly Kähler -dimensional unit sphere . As the main result, we derive a Simons' type integra…
On product affine hyperspheres in
Xiuxiu Cheng, Zejun Hu, Marilena Moruz +1
In this paper, we study locally strongly convex affine hyperspheres in the unimodular affine space which, as Riemannian manifolds, are locally isometric to the R…