7 citations · 20 across the 17 of their papers we have counts for
17 papers
A characterization of the extrinsic spheres in a Riemannian manifold
Ognian Kassabov
The following Theorem is proved: Let M be an n-dimensional (n>2) submanifold of a Riemannian manifold N. Suppose that through each point p of M there exist two (n-1)-dimensional ex…
On totally real submanifolds
Ognian Kassabov
The following results are proved: Theorem 1. A totally real semiparallel submanifold of constant curvature with parallel f-structure in the normal bundle of a Kähler manifold N is…
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…
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…
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…
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…