6 papers · 1 filter
Existence and uniqueness of conformal Gauduchon metrics
Hanzhang Yin
In this paper, we prove that every Hermitian conformal class on a connected noncompact complex manifold of dimension at least two contains a Gauduchon metric. We give a sufficient…
On solitons of a geometric flow on Hessian manifolds
Hanzhang Yin
In this work, we introduce the Koszul solitons of the Hesse-Koszul flow, i.e., self-similar solutions for a geometric flow on Hessian manifolds. We obtain some partial differential…
On Ricci forms of canonical metrics over noncompact complex manifolds
Hanzhang Yin
In this paper, we study several types of geometric problems related to the Ricci curvature on noncompact complex manifolds, such as the existence of Kähler-Einstein metrics on comp…
Fully non-linear elliptic equations on noncompact complex manifolds
Hanzhang Yin
In this paper, we establish a priori estimates and existence results for solutions of a general class of fully non-linear equations on noncompact Kähler and Hermitian manifolds. As…
A topological rigidity theorem on noncompact Hessian manifolds
Hanzhang Yin, Bin Zhou
In this work, we obtain a short time solution for a geometric flow on noncompact affine Riemannian manifolds. Using this result, we can construct a Hessian metric with nonnegative…
A geometric flow on noncompact affine Riemannian manifolds
Heming Jiao, Hanzhang Yin
In this paper, we obtain the existence criteria for a geometic flow on noncompact affine Riemannian manifolds. Our results can be regarded as a real version of Lee-Tam [19]. As an…