Shunichiro Orikasa

collaborators

3 papers

math.DG2026

Linking at Infinity and Scalar Curvature Decay on Non-Compact Manifolds

Shunichiro Orikasa

We study complete non-compact manifolds of positive scalar curvature, with a focus on how curvature decay is constrained by topology at infinity. Our first main result shows that t…

math.DG2025

Systolic Inequality and Scalar Curvature

Shunichiro Orikasa

We investigate the interaction between systolic geometry and positive scalar curvature through spinorial methods. Our main theorem establishes an upper bound for the two-dimensiona…

math.DG2025

Analysis of Contraction Mappings to The Complement of Closed Curves

Shunichiro Orikasa

We study some analytic properties of distance decreasing self-maps onto the complement of a smooth curve $I^£$ in $S^{n}$ . For $n > 4$ and $n \equiv 0 mod 4$ , let $I^£$ be an embedded ci…