3 papers
math.DG2026
Second Variation Formula for the Laplace Eigenvalue Functional on Closed Manifolds
Kazumasa Narita
For a closed Riemannian manifold of dimension , let be the first positive eigenvalue of the Laplace--Beltrami operator and $\mbox{Vol}(M,g)$ the vol…
math.DG2025
Remark on Laplacians and Riemannian Submersions with Totally Geodesic Fibers
Kazumasa Narita
Given a Riemannian submersion each of whose fibers is connected and totally geodesic, we consider a certain 1-parameter family of Riemannian metrics $(g_{t})_{t >…
math.DG2024
Deformation of Kähler Metrics and an Eigenvalue Problem for the Laplacian on a Compact Kähler Manifold
Kazumasa Narita
We study an eigenvalue problem for the Laplacian on a compact Kähler manifold. Considering the -th eigenvalue as a functional on the space of Kähler metrics with fixe…