On 4‐dimensional Lorentzian affine hypersurfaces with an almost symplectic form

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

hypersurfaces with constant mean curvature in a lorentzian space form

On symplectic hypersurfaces

A symplectic variety is a normal complex variety X with a holomorphic symplectic form ω on the regular part X reg and with rational Gorenstein sin-gularities. Affine symplectic varieties arise in many different ways such as closures of nilpotent orbits of a complex simple Lie algebra, as Slodowy slices to such nilpotent orbits or as symplectic reductions of holomorphic symplec-tic manifolds wit...

Symplectic Hypersurfaces in C

We establish the uniqueness of the symplectic 4-manifolds which admit low degree symplectic embeddings into CP 3. We also discuss the uniqueness of the fundamental group of the complement of such embeddings into arbitrary symplectic 6-manifolds. 2000 Mathematics Subject Classification: Primary 57R17; Secondary 57R95.

HYPERSURFACES WITH CONSTANT k-TH MEAN CURVATURE IN A LORENTZIAN SPACE FORM

In this paper, we study n(n ≥ 3)-dimensional complete connected and oriented space-like hypersurfaces Mn in an (n+1)-dimensional Lorentzian space form Mn+1 1 (c) with non-zero constant k-th (k < n) mean curvature and two distinct principal curvatures λ and μ. We give some characterizations of Riemannian product H(c1) ×Mn−m(c2) and show that the Riemannian product Hm(c1)×Mn−m(c2) is the only com...