9 papers
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…
Kleber's conjecture and complementary products of symmetric functions
Reuven Hodges, Hanzhang Yin
We prove Kleber's rectangular-complement conjecture for Schur functions over an arbitrary commutative ring , showing that, for a fixed rectangle, the products , i…
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…
The record statistic and forward stability of Schubert products
Andrew Hardt, Reuven Hodges, Hanzhang Yin
We initiate a probabilistic study of forward stability for products of Schubert polynomials through the record statistic (left-to-right maxima) of permutations. Building on the exp…
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 non-iterative straightening algorithm and orthogonality for skew Schur modules
Reuven Hodges, Hanzhang Yin
We generalize Fulton's determinantal construction of Schur modules to the skew setting, providing an explicit and functorial presentation using only elementary linear algebra and d…
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…