Rigidity of volume-minimising hypersurfaces in Riemannian 5-manifolds

DOI10.1017/S0305004118000361zbMath1425.53051arXiv1703.00930WikidataQ115335992 ScholiaQ115335992MaRDI QIDQ5234621

Abraão Mendes

Publication date: 30 September 2019

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00930

zbMATH Keywords

homotopy classclosed hypersurfacetotal traceless Ricci curvature

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Rigidity results (53C24)

Related Items (2)

A Bray-Brendle-neves type inequality for a Riemannian manifold ⋮ Rigidity results of weighted area-minimizing hypersurfaces

Cites Work

• Rigidity of area-minimizing hyperbolic surfaces in three-manifolds
• Rigidity of area-minimizing two-spheres in three-manifolds
• Rigidity of min-max minimal spheres in three-manifolds
• Conformal deformation of a Riemannian metric to constant scalar curvature
• The classification of simply connected manifolds of positive scalar curvature
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Rigidity theorems for compact manifolds with boundary and positive Ricci curvature
• Rigidity and positivity of mass for asymptotically hyperbolic manifolds
• The conjectures on conformal transformations of Riemannian manifolds
• Splitting of 3-manifolds and rigidity of area-minimising surfaces
• Rigidity in dimension four of area-minimising Einstein manifolds
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