Associate Professor
Department of Mathematical Sciences, Shibaura Institute of Technology
307 Fukasaku, Minuma-ku, Saitama-shi, Saitama 337-8570, Japan
E-mail: kajigaya(at)sic.shibaura-it.ac.jp
Research interests:
Differential geometry; Variational problems of submanifolds and related topics.
Minimal Lagrangian submanifolds, stability of minimal submanifolds.
Homogeneous spaces, Symmetric spaces and their submanifolds.
Mean curvature flow.
Discrete harmonic maps, discrete geometric analysis.
Preprints
Publications
(with Keita Kunikawa) Index estimate by first Betti number of minimal hypersurfaces in compact symmetric spaces, Calc. Var. Partial Differential Equations (2026) 65.21. 40 pp. arXiv.
Nonexistence of stable discrete maps into some homogeneous spaces of nonnegative curvature, Ann. Mat. Pura Appl. 203 (2024), 563–603. arXiv.
(with Takahiro Hashinaga) Equivariant realizations of Hermitian symmetric space of noncompact type, Math. Z. 300 (2022) 2363–2411. arXiv.
(with Ryokichi Tanaka) Uniformizing surfaces via discrete harmonic maps, Ann. H. Lebesgue. 4 (2021) 1767-1807, arXiv.
On Hamiltonian stable Lagrangian tori in complex hyperbolic spaces. J. Math. Soc. Japan. Volume 72, Number 2 (2020), 435-463, arXiv.
A convergence of generalized Lagrangian mean curvature flow in Kahler manifold of positive weighted Ricci form (Survey paper) . Adv. Stud. Pure Math. 85 (Proceedings of MSJ-SI2018), 2020, pp. 205-214. PDF.
(with Keita Kunikawa) Hamiltonian stability for weighted measure and generalized Lagrangian mean curvature flow. J. Geom. Phys. 128C (2018) pp. 140-168. arXiv.
Reductions of minimal Lagrangian submanifolds with symmetries. Math. Z. 289 (2018) no. 3-4, pp 1169-1189. arXiv.
(with Takahiro Hashinaga) A class of non-compact homogeneous Lagrangian submanifolds in complex hyperbolic spaces. Ann. Global Anal. Geom. 51 (2017), no. 1, 21–33.
On the Hamiltonian minimality of normal bundles. (Survey paper. Real and Complex Submanifolds, Springer Proc. Math. Stat., 106, ,2014, pp 485–496.
Hamiltonian minimality of normal bundles over the isoparametric submanifolds. Differ. Geom. Appli. 37 (2014) 89–108.
On the minimality of normal bundles in the tangent bundles over the complex space forms . Proceedings of the workshop on Differential Geometry of Submanifolds and its related topics Saga, August 4-6, 2012, pp. 243–255.
Second variational formula and the stability of Legendrian minimal submanifods in Sasakian manifolds. Tohoku. Math. J. 65, 523–543 (2013).
Last update: Apr. 1. 2026.