On a generalized Calabi-Yau equation
Dealing with the generalized Calabi-Yau equation proposed by Gromov on closed almost-Kähler manifolds, we extend to arbitrary dimension a non-existence result proved in complex dimension .
On a partial complex structure
On a Problem Concerning the Intrinsic Characterization of Cn.
On applications of the Yano–Ako operator
In this paper we consider a method by which a skew-symmetric tensor field of type (1,2) in can be extended to the tensor bundle on the pure cross-section....
On Calabi's conjecture for complex surfaces with positive first Chern class.
On Cauchy-Riemann submanifolds whose local geodesic symmetries preserve the fundamental form
We classify generic Cauchy-Riemann submanifolds (of a Kaehlerian manifold) whose fundamental form is preserved by any local geodesic symmetry.
On Clifford-type structures [Book]
On closed concircular almost contact Riemannian manifolds.
On compact astheno-Kähler manifolds
We prove that every compact balanced astheno-Kähler manifold is Kähler, and that there exists an astheno-Kähler structure on the product of certain compact normal almost contact metric manifolds.
On compact holomorphically pseudosymmetric Kählerian manifolds
For compact Kählerian manifolds, the holomorphic pseudosymmetry reduces to the local symmetry if additionally the scalar curvature is constant and the structure function is non-negative. Similarly, the holomorphic Ricci-pseudosymmetry reduces to the Ricci-symmetry under these additional assumptions. We construct examples of non-compact essentially holomorphically pseudosymmetric Kählerian manifolds. These examples show that the compactness assumption cannot be omitted in the above stated theorem....
On compact Kähler surfaces
Without relying on the classification of compact complex surfaces, it is proved that every such surface with even first Betti number admits a Kähler metric and that a real form of the classical Nakai-Moishezon criterion holds on the surface.
On compact locally conformal Kaehler manifolds with non-negative sectional curvature
On complex Cartan spaces.
On CR-submanifolds of the six-dimensional sphere.
On Einstein Hermitian surfaces.
On extrinsic symmetric Cauchy-Riemann manifolds.
On extrinsic symmetric CR-structures on the manifolds of complete flags.
On -manifolds
On generic submanifolds of a locally conformal Kähler manifold with parallel canonical structures.
On Harnack's inequalities for the Kähler-Ricci flow.