Shubham Dwivedi

collaborators

3 papers

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.DG2026

Ricci-harmonic flow of $G_{2}$ and Spin(7)-structures

Shubham Dwivedi

We introduce and study a new general flow of $G_{2}$ -structures which we call the Ricci-harmonic flow of $G_{2}$ -structures. The flow is the coupling of the Ricci flo…

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

Ricci-harmonic flow of G2​ and Spin(7)-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

Ricci-harmonic flow of $G_{2}$ and Spin(7)-structures