Hikaru Yamamoto

Japanese

Preprints

Papers

  1. J. Takahashi and H. Yamamoto,
    Solvability of a semilinear heat equation on Riemannian manifolds,
    J. Evol. Equ. 23(2023), no . 33. Here and Here
  2. J. Takahashi and H. Yamamoto,
    Infinite-time incompleteness of noncompact Yamabe flow,
    Calc. Var. Partial Differ. Equ. 61(2022), no. 212. Here and Here
  3. X. Han and H. Yamamoto,
    An $\varepsilon$-regularity theorem for line bundle mean curvature flow,
    Asian J. Math. 26(2022), no. 6. Here
  4. K. Kawai and H. Yamamoto,
    Mirror of volume functionals on manifolds with special holonomy,
    Adv. Math. 405(2022), no. 108515. Here
  5. K. Kawai and H. Yamamoto,
    Deformation theory of deformed Hermitian Yang-Mills connections and deformed Donaldson-Thomas connections,
    J. Geom. Anal. 32(2022), no. 157. Here and Here
  6. K. Kawai and H. Yamamoto,
    Deformation theory of deformed Donaldson-Thomas connections for Spin(7)-manifolds,
    J. Geom. Anal. 31(2021), no. 12, 12098-12154. Here and Here
  7. K. Kawai and H. Yamamoto,
    The real Fourier-Mukai transform of Cayley cycles,
    Pure Appl. Math. Q. 17(2021), no. 5, 1861-1898. Here
  8. H. Yamamoto,
    Ricci-mean curvature flows in gradient shrinking Ricci solitons,
    Asian J. Math., 24(2020), no. 1, 77-94. Here
  9. J. Takahashi and H. Yamamoto,
    Solutions with time-dependent singular sets for the heat equation with absorption,
    J. Differential Equations, 266(2019), no. 7, 4061-4105. Here
  10. H. Yamamoto,
    Special Lagrangian and deformed Hermitian Yang-Mills on tropical manifold,
    Math. Z., 290(2018), no. 3,4, 1023-1040. Here and Here
  11. N. Koike and H. Yamamoto,
    Gauss maps of the Ricci-mean curvature flow,
    Geom. Dedicata, 194(2018), no. 1, 169-185. Here and Here
  12. H. Yamamoto,
    Examples of Ricci-mean curvature flows,
    J. Geom. Anal., 28(2018), no. 2, 983-1004. Here and Here
  13. H. Yamamoto,
    Lagrangian self-similar solutions in gradient shrinking Kähler-Ricci solitons,
    J. Geom., 108(2017), no. 1, 247-254. Here
  14. H. Yamamoto,
    Weighted Hamiltonian stationary Lagrangian submanifolds and generalized Lagrangian mean curvature flows in toric almost Calabi-Yau manifolds,
    Tohoku Math. J., 68(2016), no. 3, 329-347. Here
  15. H. Yamamoto,
    Special Lagrangians and Lagrangian self-similar solutions in cones over toric Sasaki manifolds,
    New York J. Math., 22(2016), 501-526. Here
  16. A. Futaki, K. Hattori and H. Yamamoto,
    Self-similar solutions to the mean curvature flows on Riemannian cone manifolds and special Lagrangians on toric Calabi-Yau cones,
    Osaka J. Math., 51(2014), no. 4, 1053-1079. Here

Proceedings

  1. H. Yamamoto,
    An Example of the Noncompact Yamabe Flow having the Infinitetime Incompleteness (in Japanese),
    Conference on Geometry of submanifolds and Lie group actins 2021, 51-56.
  2. H. Yamamoto,
    An Example of the Noncompact Yamabe Flow having the Infinitetime Incompleteness,
    "The 3rd Japan-Taiwan Joint Conference on Differential Geometry" Reports 2022, 189-194. Here
  3. H. Yamamoto,
    Moduli space of deformed Hermitian Yang-Mills connections (in Japanese),
    Conference on Geometry of submanifolds and Lie group actins 2020, 56-62.
  4. H. Yamamoto,
    Line bundle mean curvature flows and the moduli space of dHYM connections,
    "Submanifolds of Symmetric Spaces and Their Time Evolutions" Reports 2021, 129-134. Here
  5. H. Yamamoto,
    An introduction to the deformed Hermitian Yang-Mills (dHYM) connections,
    "Submanifolds of Symmetric Spaces and Their Time Evolutions" Reports 2021, 123-128. Here
  6. H. Yamamoto,
    Geometry of deformed Hermitian Yang-Mills connections (in Japanese),
    Conference on Geometry of submanifolds and Lie group actins 2018, 7-15.
  7. H. Yamamoto,
    On deformed Hermitian Yang-mills connections and line bundle mean curvature flows (in Japanese),
    Fukuoka University Differential Geometry conference 2018, Proceeding, 117-125.
  8. H. Yamamoto,
    On singularities of mean curvature flows (in Japanese),
    RIMS Kôkyûroku, No.2068, 22-35. 2018. Here
  9. H. Yamamoto,
    On Ricci-mean curvature flows and its Gauss maps (in Japanese),
    Fukuoka University Differential Geometry conference 2017, Proceeding, 121-125.
  10. H. Yamamoto,
    On Ricci-mean curvature flows and its examples (in Japanese),
    Fukuoka University Differential Geometry conference 2016, 67-71.
  11. H. Yamamoto,
    On generalization of a theorem due to Huisken (in Japanese),
    Fukuoka University Differential Geometry conference 2015, Proceeding, 31-40.
  12. H. Yamamoto,
    Examples of generalized Lagrangian mean curvature flows in toric almost Calabi-Yau manifolds,
    RIMS Kôkyûroku, No.1929, 54-63. 2014. Here
  13. H. Yamamoto,
    On special Lagrangian submanifolds and Lagrangiean self-similar solutions in toric Calabi-Yau manifolds (in Japanese),
    Conference on Geometry of submanifolds and Lie group actins 2013, Proceeding, 28-34.
  14. H. Yamamoto,
    On Lagrangian mean curvature flows in toric Calabi-Yau manifolds (in Japanese),
    Submanifold Theory Yuzawa 2012, Proceeding, 11-16.