4 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 volum…
math.DG2024
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.DG2023
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 fixed v…
math.CO2022
Convex Hulls of Grassmannians and Combinatorics of Symmetric Hypermatrices
Kazumasa Narita
It is known that the complex Grassmannian of -dimensional subspaces can be identified with the set of projection matrices of rank . It is also classically known that the conv…