Keita Kunikawa

Published (Peer Reviewed)

  1. Counterexamples to preservation of flat normal bundles under mean curvature flow, Nonlinear Anal. 275 (2027), article no.114307. Journal arXiv

  2. (with T. Kajigaya) Index estimate by first Betti number of minimal hypersurfaces in compact symmetric spaces, Calc. Var. Partial Differential Equations 65 (2026), article no.21. Journal arXiv

  3. (with Y. Sakurai) Almost splitting and quantitative stratification for super Ricci flow, Comm. Anal. Geom. 34 (2026), no.1, 115--183. Journal arXiv

  4. (with Y. Sakurai) Gaussian heat kernel estimates of Bamler-Zhang type along super Ricci flow, Commun. Pure Appl. Anal. 24 (2025), no.7, 1156--1178. Journal arXiv

  5. (with Y. Sakurai) Liouville theorems for harmonic map heat flow along ancient super Ricci flow via reduced geometry, Calc. Var. Partial Differential Equations 60 (2021), article no.199. Journal arXiv

  6. (with Y. Sakurai) Yau and Souplet-Zhang type gradient estimates on Riemannian manifolds with boundary under Dirichlet boundary condition, Proc. Amer. Math. Soc. 150 (2022), no.4, 1767--1777. Journal arXiv

  7. (with Y. Sakurai) Hamilton type entropy formula along the Ricci flow on surfaces with boundary, Comm. Anal. Geom. 31 (2023), no.7, 1655--1668. Journal arXiv

  8. (with Y. Sakurai) Liouville theorem for heat equation along ancient super Ricci flow via reduced Geometry, J. Geom. Anal. 31 (2021), 11899--11930. Journal arXiv

  9. (with T. Kajigaya) A convergence of generalized Lagrangian mean curvature flow in Kähler manifold with positive weighted Ricci form (survey paper), Adv. Stud. Pure Math. 85 (2020), 205--214. Journal

  10. On Ecker's local integral quantity at infinity for ancient mean curvature flows, Ann. Global Anal. Geom. 58 (2020), 253--266. Journal arXiv

  11. (with R. Takahashi) Convergence of mean curvature flow in hyper-Kähler manifolds, Pacific J. Math. 305 (2020), no.2, 667--691. Journal arXiv

  12. (with S. Saito) Remarks on topology of stable translating solutions, Geom. Dedicata 202 (2019), no.1, 1--8. Journal arXiv

  13. Non-existence of eternal solutions to Lagrangian mean curvature flow with non-negative Ricci curvature, Geom. Dedicata 201 (2019), no.1, 369--377. Journal arXiv

  14. (with T. Kajigaya) Hamiltonian stability for weighted measure and generalized Lagrangian mean curvature flow, J. Geom. Phys. 128 (2018), 140--168. Journal arXiv

  15. Translating solitons in arbitrary codimension, Asian J. Math. 21 (2017), no.5, 855--872. Journal

  16. A Bernstein type theorem of ancient solutions to the mean curvature flow, Proc. Amer. Math. Soc. 144 (2016), no.3, 1325--1333. Journal

  17. Bernstein-type theorem of translating solitons in arbitrary codimension with flat normal bundle, Calc. Var. Partial Differential Equations 54 (2015), no.2, 1331--1344. Journal

Others

  1. Self-shrinkerのモース指数評価と今後の課題, RIMS Kôkyûroku (2025), no.2321, 113--119. Link

  2. Index estimate by first Betti number of minimal hypersurface in compact symmetric space: Part I, OCAMI Reports 7 (2024), 193--206. Link

  3. 平均曲率流方程式, 数理科学 (サイエンス社) 第62巻2号 (2024), 30--37. Link

  4. （書評）小池直之：平均曲率流 －部分多様体の時間発展 －，共立出版，2019年，viii+365ページ, 雑誌『数学』2022 年 74 巻 2 号 pp. 208--212. Link

  5. ハイパーケーラー多様体での平均曲率流, RIMS Kôkyûroku (2020), no.2145, 47--53. Link

  6. (with T. Kajigaya) ファノ多様体内のラグランジュ平均曲率流の収束, RIMS Kôkyûroku (2018), no.2068, 1--21. Link