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math.DG2026
Curvature at Infinity Governs the Topology of Complete Non-Compact Surfaces Admitting Schrödinger Operators of Finite Index
Hideaki Harumoto, Kei Kondo
In this article, we investigate the global topology of a complete non-compact Riemannian -manifold admitting a Schrödinger operator with non-negative potential and finite Mo…
math.DG2019
On sufficient conditions to extend Huber's finite connectivity theorem to higher dimensions
Kei Kondo, Yusuke Shinoda
Let be a connected complete noncompact -dimensional Riemannian manifold with a base point whose radial sectional curvature at is bounded from below by that of…