Masayuki Aino

activity

20182021

collaborators

4 papers

math.DG2021

Convergence of Laplacian Eigenmaps and its Rate for Submanifolds with Singularities

Masayuki Aino

In this paper, we give a spectral approximation result for the Laplacian on submanifolds of Euclidean spaces with singularities by the $ε$ -neighborhood graph constructed from rando…

math.DG2020

Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian

Masayuki Aino

We show a Gromov-Hausdorff approximation to the product of the standard spheres $S^{n - p} \times S^{p}$ for Riemannian manifolds with positive Ricci curvature under some pinching condi…

math.DG2019

Lichnerowicz-Obata Estimate, Almost Parallel $p$ -form and Almost Product Manifolds

Masayuki Aino

We show a Lichnerowicz-Obata type estimate for the first eigenvalue of the Laplacian of $n$ -dimensional closed Riemannian manifolds with an almost parallel $p$ -form ($2\leq p \leq…

math.DG2018

Sphere theorems and eigenvalue pinching without positive Ricci curvature assumption

Masayuki Aino

Considering the almost rigidity of the Obata theorem, we generalize Petersen and Aubry's sphere theorem about eigenvalue pinching without assuming the positivity of Ricci curvature…

Convergence of Laplacian Eigenmaps and its Rate for Submanifolds with Singularities

Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian

Lichnerowicz-Obata Estimate, Almost Parallel p-form and Almost Product Manifolds

Sphere theorems and eigenvalue pinching without positive Ricci curvature assumption

Lichnerowicz-Obata Estimate, Almost Parallel $p$ -form and Almost Product Manifolds