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20172026
most citedClassification of the locally strongly convex centroaffine hypersurfaces with parallel cubic form

23 citations · 89 across the 6 of their papers we have counts for

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math.DG2026

Almost complex totally geodesic surfaces in the nearly Kähler

Mateo Anarella, Xiuxiu Cheng, Marie D'haene +2

We give a detailed description of the nearly Kähler , which is one of the pseudo-Riemannian counterparts of the fla…

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.DG2018★ 21 cited

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…

math.DG2017★ 15 cited

An optimal inequality on locally strongly convex centroaffine hypersurfaces

Xiuxiu Cheng, Zejun Hu

In this paper, we establish a general inequality for locally strongly convex centroaffine hypersurfaces in involving the norm of the covariant derivatives of bot…

math.DG2017★ 23 cited

Classification of the locally strongly convex centroaffine hypersurfaces with parallel cubic form

Xiuxiu Cheng, Zejun Hu, Marilena Moruz

In this paper, we study locally strongly convex centroaffine hypersurfaces with parallel cubic form with respect to the Levi-Civita connection of the centroaffine metric. As the ma…