Sasakian manifolds with vanishing contact Bochner curvature tensor and constant scalar curvature
Scalar Curvature and Real Submanifolds of Codimension 2 of a Complex Projective Space.
Scalar-flat Kähler metrics on blown-up ruled surfaces.
Scalar-flat Kähler metrics with SU (2) symmetry.
Scalar-flat Kähler surfaces of all genera.
Sectional curvatures of minimal hypersurfaces immersed in
Selfdual Einstein hermitian four-manifolds
We provide a local classification of selfdual Einstein riemannian four-manifolds admitting a positively oriented hermitian structure and characterize those which carry a hyperhermitian, non-hyperkähler structure compatible with the negative orientation. We show that selfdual Einstein 4-manifolds obtained as quaternionic quotients of and are hermitian.
Self-dual Kähler manifolds and Einstein manifolds of dimension four
Self-duality of Kähler surfaces
Semilinear equations, the function, and generalized Gauduchon metrics
In this paper, we generalize the Gauduchon metrics on a compact complex manifold and define the functions on the space of its hermitian metrics.
Semi-parallel CR submanifolds in a complex space form
We show that there is no proper CR submanifold with semi-flat normal connection and semi-parallel second fundamental form in a complex space form with non-zero constant holomorphic sectional curvature such that the dimension of the holomorphic tangent space is greater than 2.
Similarity of operators and geometry of eigenvector bundles.
Singular Poisson-Kähler geometry of certain adjoint quotients
The Kähler quotient of a complex reductive Lie group relative to the conjugation action carries a complex algebraic stratified Kähler structure which reflects the geometry of the group. For the group SL(n,ℂ), we interpret the resulting singular Poisson-Kähler geometry of the quotient in terms of complex discriminant varieties and variants thereof.
Singularities and Kodaira dimension of the moduli space of flat Hermitian-Yang-Mills connections
Some critical almost Kähler structures
We consider the set of all almost Kähler structures (g,J) on a 2n-dimensional compact orientable manifold M and study a critical point of the functional with respect to the scalar curvature τ and the *-scalar curvature τ*. We show that an almost Kähler structure (J,g) is a critical point of if and only if (J,g) is a Kähler structure on M.
Some embeddings of the space of partially complex structures.
Some examples of almost Kähler 4-manifolds.
Some Hermite Metrics in Complex Finsler Spaces
Some Hermite metrics in complex Finsler spaces.
Some Kähler structures on the tangent bundle of a space form.