Ragini Singhal

activity

20242026

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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.DG2024

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…

Revisiting 3-Sasakian and G2​-structures

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

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

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