The rational homotopy theory of smooth, complex projective varieties
The Ricci tensor of an almost homogeneous Kähler manifold.
The Singularity of the Canonical Model of Compact Kähler Manifolds.
The Soliton-Ricci Flow with variable volume forms
We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the Soliton-Ricci flow. It corresponds to a forward Ricci type flow up to a gauge transformation. This gauge is generated by the gradient of the density of the volumes. The new Soliton-Ricci flow exist for all times. It represents the gradient flow of...
The spectrum of the -Laplacian on Kähler manifolds
The stable homology of flat torus.
The symplectic Thom conjecture.
The type number of the cosymplectic hypersurfaces of 6-dimensional Hermitian submanifolds of the Cayley algebra.
The Weierstrass representation for complete minimal real Kaehler submanifolds of codimension two.
Thin Complements of Complete Kähler Domains.
Three theorems on cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of the Cayley algebra.
Tight lagrangian submanifolds in CPn.
Torelli theorems for Kähler K3 surfaces
Toric Hermitian surfaces and almost Kähler structures
The aim of this paper is to investigate the class of compact Hermitian surfaces (M,g,J) admitting an action of the 2-torus T² by holomorphic isometries. We prove that if b₁(M) is even and (M,g,J) is locally conformally Kähler and χ(M) ≠ 0 then there exists an open and dense subset U ⊂ M such that is conformally equivalent to a 4-manifold which is almost Kähler in both orientations. We also prove that the class of Calabi Ricci flat Kähler metrics related with the real Monge-Ampère equation is a...
Torsion and closed geodesics on complex hyperbolic manfolds.
Totally real submanifolds in a complex projective space.
Totally real surfaces in with parallel mean curvature vector.
Traceless component of the conformal curvature tensor in Kähler manifold
We investigate the traceless component of the conformal curvature tensor defined by (2.1) in Kähler manifolds of dimension , and show that the traceless component is invariant under concircular change. In particular, we determine Kähler manifolds with vanishing traceless component and improve some theorems (for example, [4, pp. 313–317]) concerning the conformal curvature tensor and the spectrum of the Laplacian acting on
Tri-analytic Subvarieties of Hyperkähler Manifolds.
Tubes and the Geometry of the Kahler Manifolds