2 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 >…