A basic inequality of submanifolds in quaternionic space forms.
A note on a hermitian analog of Einstein spaces
A smooth gauge model on tangent bundle.
Almost Complex Structure in the Frame Bundle of an Almost Contact Metric Manifold.
Almost cosymplectic real hypersurfaces in Kähler manifolds
Almost c-spinorial geometry
Almost c-spinorial geometry arises as an interesting example of the metrisability problem for parabolic geometries. It is a complex analogue of real spinorial geometry. In this paper, we first define the type of parabolic geometry in question, then we discuss its underlying geometry and its homogeneous model. We compute irreducible components of the harmonic curvature and discuss the conditions for regularity. In the second part of the paper, we describe the linearisation of the metrisability problem...
Almost Hermitian manifolds with constant holomorphic sectional curvature
An example of an almost hyperbolic Hermitian manifold.
B-connections and their conformal invariants on conformally Kähler manifolds with B-metric.
Biholomorphic curvature of an almost Hermitian manifold.
Calculus on symplectic manifolds
On a symplectic manifold, there is a natural elliptic complex replacing the de Rham complex. It can be coupled to a vector bundle with connection and, when the curvature of this connection is constrained to be a multiple of the symplectic form, we find a new complex. In particular, on complex projective space with its Fubini–Study form and connection, we can build a series of differential complexes akin to the Bernstein–Gelfand–Gelfand complexes from parabolic differential geometry.
Closed transverse -forms on compact complex manifolds
Complete real Kähler minimal submanifolds.
Complex hypersurfaces of a generalized Hopf manifold.
Complex hypersurfaces of a generalized manifold
Conditions on the conharmonic curvature tensor of Kähler hypersurfaces in complex space forms.
Covariant Cauchy-Riemann operators and higher Laplacians on Kähler manifolds.
CR-submanifolds of a locally conformal Kaehler space form.
Curvature identifies on Hermite manifolds
Curvature on algebraic plane curves. I