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The primary aim is to show that a specific product manifold admits a Riemannian metric with non-negative curvature.

Non-negative curvature on the product manifold of 7-sphere and homotopy ℂℙ³

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The primary aim is to show that a specific product manifold admits a Riemannian metric with non-negative curvature.
Analyzed the first Pontrjagin class of the homotopy complex projective space.
Utilized properties of diffeomorphism to establish curvature conditions.
Demonstrated connections between curvature and manifold equivalency.
If the Pontrjagin class of the homotopy complex projective space is greater than or equal to 4, then curvature conditions are met.
Concluded that the product manifold of ℂℙ³ and S⁷ has a Riemannian metric of non-negative curvature.

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Demonstrates non-negative curvature in a product manifold, suggesting implications for geometry.

Wen Shen (2026) studied this question.

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