In this paper: Bishop, R.L.; O'Neill, B., Manifolds of negative curvature, Trans. Am. Math. Soc. 145, 1-49 (1969). ZBL0191.52002, it has been proved that there is no non-trivial smooth convex function on complete Riemannian manifold with finite volume. My question is that is there any similar analogous for quasi-convex function?
2026-05-14 08:52:22.1778748742
Existence of non-trivial smooth quasi-convex function on complete Riemannian manifold with finite-volume.
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