most citedOn the axiom of planes and the axiom of spheres in the almost Hermitian geometry

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math.DG2010

AH3-manifolds of constant antiholomorphic sectional curvature

Ognian Kassabov

The following theorem is proved: If an AH3-manifold M of dimension greather or equal to 6 is of pointwise constant antiholomorphic sectional curvature, then M is a real space form…

math.DG20101 cited

Almost Kähler manifolds of constant antiholomorphic sectional curvature

Ognian Kassabov

It is proved that if an AK2-manifold of dimension greater or equal to 6 is of pointwise constant antiholomorphic sectional curvature, then it is a 6-dimensional manifold of constan…

math.DG20101 cited

Sur le théorème de F. Schur pour une variété presque hermitienne

Ognian Kassabov

Let M be an almost Hermitian manifold of dimension greater or equal to 6. The following theorems are proved: Theorem 1. If M is of pointwise constant θ-holomorphic sectional curvat…

math.DG2010

Schur's theorem of antiholomorphic type for quasi-Kählerian manifolds

Georgi Ganchev, Ognian Kassabov

It is proved, that if a quasi-Kähler manifold of dimension greater or equal to 6 is of pointwise constant antiholomorphic sectional curvature , then , the scalar curvatur…

math.DG20105 cited

Nearly Kähler manifolds of constant antiholomorphic sectional curvature

Georgi Ganchev, Ognian Kassabov

A classification theorem for nearly Kähler manifolds of constant antiholomorphic sectional curvature is proved.

math.DG2010

Congruence of hypersurfaces of a pseudo-Euclidean space

Ognian Kassabov

Conditions, related to the so-called bending problem are considered for hypersurfaces of a pseudo-Euclidean space. Corresponding theorems are proved.