3 papers
math.DG2026
A new framework of zero mean curvature surfaces in the isotropic 3-space
Riku Kishida
We introduce a class of zero mean curvature surfaces with singularities in the isotropic 3-space, called ZMC-faces. As a main result, we establish three Osserman-type inequalities…
math.DG2025
The volume of marginally trapped submanifolds in a Lorentzian manifold satisfying the null energy condition
Riku Kishida
In this paper, we focus on a marginally trapped submanifold in a Lorentzian manifold . We show that lies in a certain null hypersurface $\mathc…
math.DG2024
The volume of conformally flat manifolds as hypersurfaces in the light-cone
Riku Kishida
In this paper, we focus on a conformally flat Riemannian manifold of dimension isometrically immersed into the -dimensional light-cone as a hypersur…