Remark on mixed foliate generic submanifolds
Remarkable operators and commutation formulas on locally conformal Kähler manifolds
Remarks on the Existence Problem of Positive Kähler-Einstein Metrics.
Remarques sur le revêtement universel des variétés kählériennes compactes
Ricci-flat Kähler metrics on affine algebraic manifolds. II.
Rigidité infinitésimale et géométrie de la quadrique complexe de dimension 4
Rigidity at infinity for even-dimensional asymptotically complex hyperbolic spaces
Any Kähler metric on the ball which is strongly asymptotic to complex hyperbolic space and whose scalar curvature is no less than the one of the complex hyperbolic space must be isometrically biholomorphic to it. This result has been known for some time in odd complex dimension and we provide here a proof in even dimension.
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.