Ragini Singhal

activity

20202026

G_{2}

-instantons on nearly

G_{2}

manifolds

3 citations · 5 across the 7 of their papers we have counts for

collaborators

8 papers

math.DG2026

New Inhomogeneous Nearly $G_{2}$ -metric on the Berger Space and a Sine Cone Desingularisation

Simon Salamon, Ragini Singhal

Nearly $G_{2}$ manifolds are positive Einstein seven-dimensional manifolds whose associated cone metric has special holonomy equal to, or contained in, $Spin (7)$ . W…

math.DG2026

A $d d^{Φ}$ -Lemma and Bott--Chern-type Cohomology for Spin(7)-Manifolds

Shubham Dwivedi, Ragini Singhal

We study the properties of the $d d^{Φ}$ -operator on $8$ -dimensional Spin(7)-manifolds with torsion-free Spin(7)-structures $Φ$ . These operators were first introduced by Harvey and La…

math.DG2026

Solutions and singularities of the Ricci-harmonic flow and Ricci-like flows of $G_{2}$ -structures

Shubham Dwivedi, Ragini Singhal

We find explicit solutions and singularities of the Ricci-harmonic flow of $G_{2}$ -structures, the Ricci-like flows of $G_{2}$ -structures studied by Gianniotis-Zachar…

math.AG2025

Examples of real stable bundles on K3 surfaces

Dino Festi, Daniel Platt, Ragini Singhal +1

Motivated by gauge theory on manifolds with exceptional holonomy, we construct examples of stable bundles on K3 surfaces that are invariant under two involutions: one is holomorphi…

math.DG2024

Revisiting 3-Sasakian and $G_{2}$ -structures

Simon Salamon, Ragini Singhal

The algebra of exterior differential forms on a regular 3-Sasakian 7-manifold is investigated, with special reference to nearly-parallel $G_{2}$ 3-forms. This is applied to the study…

math.DG2023

Nearly half-flat $SU (3)$ -structures on $S^{3} \times S^{3}$

Ragini Singhal

We study the $SU (3)$ -structure induced on an oriented hypersurface of a 7-dimensional manifold with a nearly parallel $G_{2}$ -structure. We call such $SU (3)$ -structure…

math.DG2021★ 3 cited

Deformations of $G_{2}$ -instantons on nearly $G_{2}$ manifolds

Ragini Singhal

We study the deformation theory of $G_{2}$ -instantons on nearly $G_{2}$ manifolds. There is a one-to-one correspondence between nearly parallel $G_{2}$ structu…

math.DG2020★ 2 cited

Deformation theory of nearly $G_{2}$ manifolds

Shubham Dwivedi, Ragini Singhal

We study the deformation theory of nearly $G_{2}$ manifolds. These are seven dimensional manifolds admitting real Killing spinors. We show that the infinitesimal deformation…

New Inhomogeneous Nearly G2​-metric on the Berger Space and a Sine Cone Desingularisation

A ddΦ-Lemma and Bott--Chern-type Cohomology for Spin(7)-Manifolds

Solutions and singularities of the Ricci-harmonic flow and Ricci-like flows of G2​-structures

Examples of real stable bundles on K3 surfaces

Revisiting 3-Sasakian and G2​-structures

Nearly half-flat SU(3)-structures on S3×S3

Deformations of G2​-instantons on nearly G2​ manifolds

Deformation theory of nearly G2​ manifolds

New Inhomogeneous Nearly $G_{2}$ -metric on the Berger Space and a Sine Cone Desingularisation

A $d d^{Φ}$ -Lemma and Bott--Chern-type Cohomology for Spin(7)-Manifolds

Solutions and singularities of the Ricci-harmonic flow and Ricci-like flows of $G_{2}$ -structures

Revisiting 3-Sasakian and $G_{2}$ -structures

Nearly half-flat $SU (3)$ -structures on $S^{3} \times S^{3}$

Deformations of $G_{2}$ -instantons on nearly $G_{2}$ manifolds

Deformation theory of nearly $G_{2}$ manifolds