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This is a Quantitative Study study.

October 17, 2025Open Access

Positive intermediate Ricci curvature on cohomogeneity one manifolds in low dimensions

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Authors

ESElahe Khalili SamaniClark University LMLawrence MouilléSyracuse University

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Implication

This analysis finds invariant metrics with positive intermediate ricci curvature in closed cohomogeneity one manifolds, suggesting critical geometric limitations.

Key Points

Invariant metrics with positive intermediate ricci curvature were constructed on certain closed manifolds, specifically on S^3 × C P^2.
For this specific manifold, a positive 4-intermediate ricci curvature was achieved, while a positive 3-intermediate ricci curvature was demonstrated to be impossible.
Similar obstruction results were established for other closed cohomogeneity one manifolds, highlighting geometric constraints in these structures.
These findings illustrate how invariant metrics interact with the curvature properties of low-dimensional cohomogeneity one manifolds.

Cite This Study

Samani et al. (2025) studied this question.

synapsesocial.com/papers/68f19f20de32064e504dddd0 https://doi.org/10.48550/arxiv.2507.17920

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Implication

This analysis finds invariant metrics with positive intermediate ricci curvature in closed cohomogeneity one manifolds, suggesting critical geometric limitations.

Positive intermediate Ricci curvature on cohomogeneity one manifolds in low dimensions

Discussion

Member takes

Implication

Key Points

Cite This Study

Positive intermediate Ricci curvature on cohomogeneity one manifolds in low dimensions

Discussion

Member takes

Implication

Key Points

Cite This Study

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