Compact complex manifolds whose tangent bundles satisfy numerical effectivity properties

Key words: Compact complex manifold, numerically effective vector bundle, Chern curvature tensor, Chern classes, Albanese map, Fano variety, Kodaira classification of surfaces,

As- suming this for the moment, then the method of [SY] would prove a more general state- ment: a compact K~thler mani/old o/quasi-positive bisectional curvature

Their paper is entitled “Topological, affine and isometric actions in Riemannian flat manifolds” and will appear in .I.. Professor Raymond also pointed out that

In Section 3, we obtain that if the linear operator L with respect to the initial asymptotically hyperbolic metric g is surjective in a suitable weighted Hölder space, there

As already mentioned, the objective of this paper is to consider surfaces (with boundary) with corners on their boundary and to study the existence problem of conformal metrics

There exists c > 0 such that, if Γ is a closed curve of degree d immersed in Ω with constant geodesic curvature k > 0, then there exists p, a critical point of the Gauss

exists and is a round sphere possibly degenerate, by the arguments from the proof of Lemma 4.3 and [8].. Since the sectional curvature of V i is bounded from below by K > 0,

In 1996, Huisken and Yau [19] proved that for any asymptotically flat three- manifold M with positive ADM mass, there exists a compact set K so that the com- plement M \ K can