Ragini Singhal

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20242026

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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.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…

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

Revisiting 3-Sasakian and G2​-structures

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