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math.DG2026
New Inhomogeneous Nearly -metric on the Berger Space and a Sine Cone Desingularisation
Simon Salamon, Ragini Singhal
Nearly manifolds are positive Einstein seven-dimensional manifolds whose associated cone metric has special holonomy equal to, or contained in, . W…
math.DG2026
A -Lemma and Bott--Chern-type Cohomology for Spin(7)-Manifolds
Shubham Dwivedi, Ragini Singhal
We study the properties of the -operator on -dimensional Spin(7)-manifolds with torsion-free Spin(7)-structures . These operators were first introduced by Harvey and La…
math.DG2026
Solutions and singularities of the Ricci-harmonic flow and Ricci-like flows of -structures
Shubham Dwivedi, Ragini Singhal
We find explicit solutions and singularities of the Ricci-harmonic flow of -structures, the Ricci-like flows of -structures studied by Gianniotis-Zachar…