Invariant hypersurfaces of Sn× Sn with constant mean curvature

Constant Mean Curvature Hypersurfaces with Constant Δ-invariant

We completely classify constant mean curvature hypersurfaces (CMC) with constant δ-invariant in the unit 4-sphere S 4 and in the Euclidean 4-space E 4 .

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

Generalized doubling constructions for constant mean curvature hypersurfaces in Sn+1

The sphere Sn+1 contains a simple family of constant mean curvature (CMC) hypersurfaces of the form Ct := Sp(cos t) × Sq(sin t) for p + q = n and t ∈ (0, π2 ) called the generalized Clifford hypersurfaces. This paper demonstrates that new, topologically non-trivial CMC hypersurfaces resembling a pair of neighbouring generalized Clifford tori connected to each other by small catenoidal bridges a...

hypersurfaces with constant mean curvature in a lorentzian space form

Constant mean curvature hypersurfaces foliated by spheres ∗

We ask when a constant mean curvature n-submanifold foliated by spheres in one of the Euclidean, hyperbolic and Lorentz–Minkowski spaces (En+1, Hn+1 or Ln+1), is a hypersurface of revolution. In En+1 and Ln+1 we will assume that the spheres lie in parallel hyperplanes and in the case of hyperbolic space Hn+1, the spheres will be contained in parallel horospheres. Finally, Riemann examples in L3...