Keita Kunikawa

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Preprints

  1. (with T. Kajigaya) Index estimate by first Betti number of minimal hypersurfaces in compact symmetric spaces [arXiv]

  2. (with Y. Sakurai) Almost splitting and quantitative stratification for super Ricci flow [arXiv]

  3. (with Y. Sakurai) Gaussian heat kernel estimates of Bamler-Zhang type along super Ricci flow [arXiv]

Published or Accepted Papers (Peer Reviewed)

  1. (with Y. Sakurai) Liouville theorem 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]

  2. (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]

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

  4. (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]

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

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

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

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

  9. 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]

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

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

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

  13. 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. 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]

  2. ハイパーケーラー多様体での平均曲率流, RIMS Kôkyûroku (2019), no.2145, 47--53 [Link]

  3. (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]