3 papers
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 fl…
math.DG2025
Homogeneous hypersurfaces of the four-dimensional Thurston geometry
Marie D'haene, Guoxin Wei, Zeke Yao +1
In this paper, we classify hypersurfaces with constant principal curvatures in the four-dimensional Thurston geometry under certain geometric conditions. As an appl…
math.DG2025
Hypersurfaces of six-dimensional nearly Kähler manifolds
Mateo Anarella, Marie D'haene
In the context of six-dimensional homogeneous nearly Kähler manifolds, we prove that is the only ambient space admitting constant sectional curvature hypersurfaces.…