Lakzian's Euclidean diffeomorphism conjecture for Berwald spaces

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Let (M,F)(M,F) be a geodesically complete Berwald space with non-negative flag curvature and large volume growth.

Lakzian's conjecture. The space MM is diffeomorphic to Euclidean space Rn\mathbb{R}^{n}.

This conjecture concerns the topology of non-negatively curved Berwald spaces under a large-volume-growth assumption. The supplied text gives no evidence that it has been resolved.

References

Primary source

Willian Isao Tokura, Levi Adriano and Changyu Xia, “The Caffarelli-Kohn-Nirenberg Inequalities on Metric Measure Spaces”, arXiv:1711.04836 (2017).

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