82 citations · 404 across the 40 of their papers we have counts for
8 papers · 1 filter
RC-positivity and the generalized energy density I: Rigidity
Xiaokui Yang
In this paper, we introduce a new energy density function on the projective bundle for a smooth map between Riemannian manifolds…
RC-positivity and rigidity of harmonic maps into Riemannian manifolds
Jun Wang, Xiaokui Yang
In this paper, we show that every harmonic map from a compact Kähler manifold with uniformly RC-positive curvature to a Riemannian manifold with non-positive complex sectional curv…
RC-positivity and scalar-flat metrics on ruled manifolds
Jun Wang, Xiaokui Yang
Let be a ruled surface over a curve of genus . We prove that has a scalar-flat Hermitian metric if and only if and where is an intrinsic num…
Logarithmic vanishing theorems for effective -ample divisors
Kefeng Liu, Xueyuan Wan, Xiaokui Yang
Let be a compact Kähler manifold and be a simple normal crossing divisor. If is the support of some effective -ample divisor, we show $$ H^q(X,Ω^p_X(\log D))=0,\quad…
RC-positive metrics on rationally connected manifolds
Xiaokui Yang
In this paper, we prove that if a compact Kähler manifold has a smooth Hermitian metric such that is uniformly RC-positive, then is projective and rationally…
RC-positivity, vanishing theorems and rigidity of holomorphic maps
Xiaokui Yang
Let and be two compact complex manifolds. We show that if the tautological line bundle is not pseudo-effective and is nef,…