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20072026
most citedClassification of the locally strongly convex centroaffine hypersurfaces with parallel cubic form

23 citations · 121 across the 13 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

math.DG2019★ 14 cited

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…

math.DG2019★ 16 cited

Every centroaffine Tchebychev hyperovaloid is ellipsoid

Xiuxiu Cheng, Zejun Hu, Luc Vrancken

In this paper, we study locally strongly convex Tchebychev hypersurfaces, namely the {\it centroaffine totally umbilical hypersurfaces}, in the -dimensional affine space $\m…

math.DG2019★ 4 cited

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 $…

math.DG2019★ 12 cited

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…

math.DG2019★ 8 cited

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…