7 citations · 7 across the 5 of their papers we have counts for
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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…
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…
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…
Thurston geometries in dimension four from a Riemannian perspective
Marie D'haene
In this survey we focus on a special class of homogeneous manifolds called Thurston geometries. We give special attention to the four-dimensional Thurston geometries with 4 or 5-di…
Parallel and totally umbilical hypersurfaces of the four-dimensional Thurston geometry
Marie D'haene, Jun-ichi Inoguchi, Joeri Van der Veken
We study hypersurfaces of the four-dimensional Thurston geometry , which is a Riemannian homogeneous space and a solvable Lie group. In particular, we give a full c…