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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. I…