2 citations · 4 across the 7 of their papers we have counts for
7 papers
Homogeneous Generalized Ricci flows II
Elia Fusi, Ramiro A. Lafuente, James Stanfield
We relate the generalized Ricci curvature of left-invariant generalized metrics on a Lie group with the Ricci curvature of certain metric Lie algebras. As an application, we prove…
Long-time existence of the pluriclosed flow on some fibrations
Elia Fusi, James Stanfield, Luigi Vezzoni
We prove long-time existence of the pluriclosed flow on certain compact quotients of Lie groups for non-invariant initial data, as well as on some holomorphic principal torus bundl…
The homogeneous generalized Ricci flow
Elia Fusi, Ramiro A. Lafuente, James Stanfield
We develop a framework inspired by Lauret's "bracket flow" to study the generalized Ricci flow, as introduced by Streets, on discrete quotients of Lie groups. As a first applicatio…
On the Gauduchon Curvature of Hermitian Manifolds
Kyle Broder, James Stanfield
It is shown that many results, previously believed to be properties of the Lichnerowicz Ricci curvature, hold for the Ricci curvature of all Gauduchon connections. We prove the exi…
Hermitian manifolds with flat Gauduchon connections
Ramiro A. Lafuente, James Stanfield
We complete the classification of compact Hermitian manifolds admitting a flat Gauduchon connection. In particular, we establish a conjecture of Yang and Zheng, showing that apart…
Positive Hermitian Curvature Flow on special linear groups and perfect solitons
James Stanfield
We study invariant solutions to the Positive Hermitian Curvature Flow, introduced by Ustinovskiy, on complex Lie groups. We show in particular that the canonical scale-static metri…
Positive Hermitian Curvature Flow on nilpotent and almost-abelian complex Lie groups
James Stanfield
We study the positive Hermitian curvature flow on the space of left-invariant metrics on complex Lie groups. We show that in the nilpotent case, the flow exists for all positive ti…