Recent papers by Akito Futaki

  • (with 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, arXiv:1112.5933.
  • (with H.Z.Li and X.D.Li) On the first eigenvalue of the Witten-Laplacian and the diameter of compact shrinking solitons, arXiv:1111.6364.
  • (with K.Hattori and L.Ornea) An integral invariant from the view point of locally conformally Kähler geometry, to appear in Manuscripta Math., arXiv:1105.4774.
  • (with Y.Sano) Lower diameter bounds for compact shrinking Ricci solitons, to appear in Asian J. Math., arXiv:1007.1759.
  • Asymptotic Chow polystability in Kähler geometry, in Fifth International Congress of Chinese Mathematicians Part 1, AMS/IP Studies in Advanced Mathematics, vol. 51, Amer. Math. Soc., Providence, RI, 2012, pp. 139-153.
  • (with Y.Sano) Multiplier ideal sheaves and geometric problems, ``Variational Problems in Differential Geometry (Eds. R. Bielawski, K. Houston and M. Speight)'', LMS Lecture Notes series, 394(October 2011), 68--93, Cambridge University Press.
  • (with H. Ono) Einstein metrics and GIT stability, Sugaku Expositions, 24(2011), 93-122. Translated from Sugaku, 60(2008), 175--202 in Japanese.
  • (with Y.Sano) Multiplier ideal sheaves and integral invariants on toric Fano manifolds, Mathematische Annalen, 350(2011), 245-267.
  • (with M.T.Wang) Constructing Kähler-Ricci solitons from Sasaki-Einstein manifolds, Asian Journal of Mathematics, 15(2011), 33--52.
  • Momentum construction on Ricci-flat Kähler cones, Tohoku Math. J. 63(2011), pp.21-40.
  • (with H.Ono and Y.Sano) Hilbert series and obstructions to asymptotic semistability, Advances in Math., 226 (2011), 254--284.
  • Toric Sasaki-Einstein Geometry, Fourth International Congress of Chinese Mathematicians (eds. L. Ji et al), AMS/IP Studies in Advanced Mathematics, Vol.48(2010), 107-125.
  • (with H.Ono and G.Wang) : Transverse Kähler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds, Journal of Differential Geometry, 83(2009), 585-636.
  • Holomorphic vector fields and perturbed extremal Kähler metrics, Journal of Symplectic Geometry, Vol. 6, No. 2 (2008), 127-138.
  • (with K.Cho and H.Ono) : Uniqueness and examples of compact toric Sasaki-Einstein metrics, Comm. Math. Phys., 277 (2008), 439-458.
  • Harmonic total Chern forms and stability, Kodai Math. J. Vol. 29, No. 3 (2006), 346-369.
  • Stability, integral invariants and canonical Kähler metrics, Proc. 9-th Internat. Conf. on Differential Geomtry and its Applications, 2004 Prague, (eds. J. Bures et al), 45-58, Matfyzpress, Prague, (2005).
  • Canonical metrics in Kähler geometry and stability in GIT, UK-Japan Winter school 2004, Geometry and analysis towards quantum field theory, Seminar on Mathematical Sciences, 30(2005), 68-77, Keio University.
  • Asymptotic Chow semi-stability and integral invariants, Internat. J. Math. Vol. 15, No. 9 (2004) 967-979.
  • Lectures on differential geometry, Science Publisher, Tokyo, 2003,(in Japanese)
  • (with T.Mabuchi) : Moment maps and multilinear bilinear forms associated with symplectic classes, Asian J. Math., 6(2002), 349-372.
  • Some invariant and equivariant cohomology classes of the space of Kähler metrics, Proc. Japan Acad., 78(2002), 27-29.