3 papers
math.DG2026
Comparison theorems in centro-affine differential geometry
Yasuaki Fujitani
For weighted manifolds with Bakry-Ãmery Ricci curvature bounded from below, comparison geometric results have been established. The Bakry-Ãmery Ricci curvature depends on the eff…
math.DG2026
Choi-Wang inequality for affine connections
Yasuaki Fujitani
Choi-Wang established a lower bound for the first non-zero eigenvalue of the Laplacian on minimal hypersurfaces in manifolds with positive Ricci curvature. We extend this Choi-Wang…
math.DG2025
A Steklov eigenvalue estimate for affine connections and its application to substatic triples
Yasuaki Fujitani
Choi-Wang obtained a lower bound of the first eigenvalue of the Laplacian on closed minimal hypersurfaces. On minimal hypersurfaces with boundary, Fraser-Li established an inequali…