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This is a Quantitative Study study.

October 20, 2025Open Access

Isolated singularities in G₂-structures with torsion

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Isolated singularities in g2-structures may not support bounded torsion, impacting geometric properties.
The analysis identifies circle-invariant g2-structures, highlighting symmetries in known conical singularities.
Understanding how circle fibers in calabi-yau manifolds influence g2-structures offers new insights for geometry.
Revisiting g2-structures with torsion deepens the exploration of singularities and their mathematical behaviors.

Implication

This analysis explores G2-structures exhibiting torsion and describes implications for conical singularities.

Abstract

We revisit the study of G₂-structures with special torsion, and isolated singularities. Many of the known examples with conical singularities admit additional symmetries, and we describe circle-invariant G₂-structures in this context. Finally, we show that collapsing the circle fibres of a contact Calabi-Yau manifold at isolated points cannot produce a G₂-structure with bounded torsion.

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Cite This Study

Earp et al. (2025) studied this question.

synapsesocial.com/papers/68f6379bb481a140a36cf785 https://doi.org/10.48550/arxiv.2506.15482

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Implication

This analysis explores G2-structures exhibiting torsion and describes implications for conical singularities.

Isolated singularities in G₂-structures with torsion

Key Points

Implication

Abstract

Discussion

Cite This Study

Isolated singularities in G₂-structures with torsion

Key Points

Implication

Abstract

Discussion

Cite This Study

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