7 citations · 9 across the 5 of their papers we have counts for
8 papers
Convergence of cohomogeneity-one Lagrangian mean curvature flow in positive Kähler-Einstein manifolds
Naotoshi Fujihara, Toru Kajigaya, Albert Wood
We prove that Lagrangian mean curvature flow starting from a closed, embedded, cohomogeneity-one Lagrangian in a closed, positive Kähler--Einstein manifold exists for all time, rem…
Index estimate by first Betti number of minimal hypersurfaces in compact symmetric spaces
Toru Kajigaya, Keita Kunikawa
We show that the Morse index of unstable closed minimal hypersurface in a compact semi-simple Riemannian symmetric space is bounded from below by constant times the fir…
Nonexistence of stable discrete maps into some homogeneous spaces of nonnegative curvature
Toru Kajigaya
We consider stabilities for the weighted length or energy functional of a discrete map from a finite weighted graph into a smooth Riemannian manifold . We prove…
Equivariant realizations of Hermitian symmetric space of noncompact type
Takahiro Hashinaga, Toru Kajigaya
Let be a Hermitian symmetric space of noncompact type. We provide a way of constructing -equivariant embeddings from to its tangent space at the origin by usi…
Uniformizing surfaces via discrete harmonic maps
Toru Kajigaya, Ryokichi Tanaka
We show that for any closed surface of genus greater than one and for any finite weighted graph filling the surface, there exists a hyperbolic metric which realizes the least Diric…
On Hamiltonian stable Lagrangian tori in complex hyperbolic spaces
Toru Kajigaya
In this paper, we investigate the Hamiltonian-stability of Lagrangian tori in the complex hyperbolic space . We consider a standard Hamiltonian -action on $\mat…
Reductions of minimal Lagrangian submanifolds with symmetries
Toru Kajigaya
Let be a Fano manifold equipped with a Kähler form and a connected compact Lie group acting on as holomorphic isometries. In this paper, we show the min…
Hamiltonian stability for weighted measure and generalized Lagrangian mean curvature flow
Toru Kajigaya, Keita Kunikawa
In this paper, we generalize several results for the Hamiltonian stability and the mean curvature flow of Lagrangian submanifolds in a Kähler-Einstein manifold to more general Kähl…