O. J. Windare

activity

20212026

collaborators

8 papers

math.DG2026

Deformed Gauduchon-Yamabe problems on compact Hermitian manifolds

Oluwagbenga Joshua Windare

We study a two-parameter deformation of scalar curvature associated with the Gauduchon connections on compact Hermitian manifolds. A central identity expresses its dependence on th…

math.DG2026

Yamabe-type problems on compact Hermitian manifolds

Daniele Angella, Francesco Pediconi, Carlo Scarpa +2

We introduce and study a one-parameter Hermitian deformation of the Yamabe problem on compact complex manifolds. The deformation is defined by adding natural torsion terms to the R…

math.DG2023

A Hilbert-Mumford Criterion for polystability for actions of real reductive Lie groups

Leonardo Biliotti, Oluwagbenga Joshua Windare

We presented a Hilbert-Mumford criterion for polystablility associated with an action of a real reductive Lie group $G$ on a real submanifold $X$ of a Kahler manifold $Z$ . Suppose…

math.DG2023

Common Singularities of Commuting Vector Fields

Leonardo Biliotti, Oluwagbenga Joshua Windare

We study the singularities of commuting vector fields of a real submanifold of a Kähler manifold $Z$ .

math.DG2022

Remarks on Semistable Points and Nonabelian Convexity of Gradient Maps

Oluwagbenga Joshua Windare

We study the action of a real reductive group $G$ on a Kahler manifold $Z$ which is the restriction of a holomorphic action of a complex reductive Lie group $U^{C} .$ We assu…

math.DG2022

Stability, analytic stability for real reductive Lie groups

Leonardo Biliotti, Oluwagbenga Joshua Windare

We presented a systematic treatment of a Hilbert criterion for stability theory for an action of a real reductive group $G$ on a real submanifold $X$ of a Kähler manifold $Z$ . More…

math.DG2021

Properties of Gradient maps associated with Action of Real reductive Group

Leonardo Biliotti, Oluwagbenga Joshua Windare

Let $(Z, ω)$ be a \Keler manifold and let $U$ be a compact connected Lie group with Lie algebra $u$ acting on $Z$ and preserving $ω$ . We assume that the $U$ -action extend…

math.DG2021

Compact orbits of Parabolic subgroups

Leonardo Biliotti, Joshua O. Windare

We study the action of a real reductive group $G$ on a real submanifold $X$ of a Kahler manifold $Z$ . We suppose that the action of a compact connected Lie group $U$ with Lie algeb…