%0 Unpublished Work %A Inayama, Takahiro %T $L^2$-extension indices, sharper estimates and curvature positivity %J Annales de l'Institut Fourier %D 2025 %I Association des Annales de l’institut Fourier %Z Online first %R 10.5802/aif.3738 %G en %F AIF_0__0_0_A26_0