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math.DG2026
Nonnegative Ricci curvature and virtual abelianness in dimensions less than 12
Dimitri Navarro, Jiayin Pan, Xingyu Zhu
For any complete Riemannian manifold with nonnegative Ricci curvature and sublinear diameter growth, we establish a dimensional constraint if the fundament…
math.DG2026
Complete manifolds with nonnegative Ricci curvature and slow relative volume growth
Dimitri Navarro, Jiayin Pan, Xingyu Zhu
For any complete and noncompact manifold with , we define a function that describes the growth of relative volume asymptotically $$\mathrm{R…