論文

• Akito Futaki and Yuji Sano. Multiplier ideal sheaves and geometric problems, ``Variational Problems in Differential Geometry (Eds. R. Bielawski, K. Houston and M. Speight)'', LMS Lecture Notes series, Cambridge University Press, 394, pp. 68--93, Oct. 2011.
• Akito Futaki and Mu-Tao Wang. Constructing K"ahler-Ricci solitons from Sasaki-Einstein manifolds, Asian Journal of Mathematics, Vol. 15, pp. 33--52, 2011.
• Akito Futaki and Yuji Sano. Multiplier ideal sheaves and integral invariants on toric Fano manifolds, Mathematische Annalen, Vol. 350, No. 2, pp. 245-267, May 2011.
• Akito Futaki. Momentum construction on Ricci-flat K¥"ahler cones, Tohoku Mathematical Journal, Vol. 63, pp. 21--40, Mar. 2011.
• A.Futaki and H.Ono. Einstein metrics and GIT stability, Sugaku Expositions, 24, p. 93--122, 2011.
• Akito Futaki, Hajime Ono and Yuji Sano. Hilbert series and obstructions to asymptotic semistability, Advances in Mathematics, Vol. 226, pp. 254--284, Jan. 2011.
• Akito Futaki. Toric Sasaki-Einstein geometry, Fourth International Congress of Chinese Mathematicians (eds. L. Ji et al), American Mathematical Society, Vol. 48, pp. 107-125, Oct. 2010.
• Akito Futaki, Hajime Ono and Guofang Wang. Transverse K"ahler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds,, Journal of Differential Geometry, Vol. 83, pp. 585-636, Dec. 2009.
• Akito Futaki. Holomorphic vector fields and perturbed extremal Kahler metrics, J. Symplectic Geom., Vol. 6, No. 2, pp. 127-138, June 2008.
• K.Cho, Akito Futaki and H.Ono. Uniqueness and examples of toric Sasaki-Einstein manifolds, Comm. Math. Phys., Vol. 277, pp. 439-458, 2008.
• 二木昭人, 小野肇. Einstein 計量と GIT 安定性, 数学, 岩波書店，日本数学会, Vol. 60, pp. 175-202, 2008.
• Akito Futaki. Harmonic total Chern forms and stability, Kodai Math. J., Vol. 29, No. 3, pp. 346-369, 2006.
• A. Futaki. Stability, integral invariants and canonical Kaehler metrics, Differential Geometry and its Applications, Proc. Conf. Prague 2004, pp. 45-58, 2005.
• Akito Futaki. Asymptotic Chow semi-stability and integral invariants, Internat. J. Math., Vol. 15, No. 9, pp. 967-979, 2004.
• A. Futaki. Canonical metrics in Kaehler geometry and stability in GIT, UK-Japan Winter school 2004, Geometry and analysis towards quantum field theory, Seminar on Mathematical Sciences, Keio Univ., Vol. 30, pp. 68-77, 2004.
• Akito Futaki. Some invariant and equivariant cohomology classes of the space of Kaehler metrics, Proc. Japan Acad., Vol. 78, No. 3, pp. 27-29, 2002.
• A. Futaki, T.Mabuchi. Moment maps and multilinear bilinear forms associated with symplectic classes, Asian J. Math., Vol. 6, pp. 349-372, 2002.
• A. Futaki, K. Tsuboi. Fixed point formula for characters of automorphism groups associated with Kaehler classes, Math. Research Lett., Vol. 8, pp. 495-507, 2001.
• A. Futaki, Y. Nakagawa. Characters of automorphism groups associated with Kaehler classes and functionals with cocycle conditions, Kodai Math.J., Vol. 24, pp. 1-14, 2001.
• A. Futaki, T. Mabuchi :. Bilinear forms and extremal Kaehler vector fields associated with Kaehler classes, Math. Ann., Vol. 301, pp. 199-210, 1995.
• Akito Futaki. Integral invariants in Kaehler Geometry, Amer. Math. Transl., Vol. 160, pp. 63-77, 1994.
• A. Futaki, T.Mabuchi. Uniqueness and periodicity of extremal Kaehler vector fields, Proceedings of GARC Workshop on Geometry and Topology '93, Seoul, Proceedings of GARC Workshop on Geometry and Topology '93, Seoul, pp. 217-239, 1993.
• Akito Futaki. Scalar-flat closed manifolds not admitting positive scalar curvature metrics, Invent. Math., Vol. 112, pp. 23-29, 1993.
• Akito Futaki. A Lie algebra character and Kaehler-Einstein metrics of positive scalar curvature, Proc. Symp. Pure Math., Vol. 52, No. Part 2, pp. 209-215, 1991.
• A. Futaki, K. Tsuboi. Eta invariants and the automorphisms of compact complex manifolds, Adv. Stud. Pure Math., Vol. 18-I, pp. 251-270, 1990.
• A. Futaki, T. Mabuchi, Y. Sakane. Einstein-Kaehler metrics with positive Ricci curvature, Adv. Stud. Pure Math., Vol. 18-II, pp. 11-83, 1990.
• A. Futaki, K. Tsuboi. On some integral invariants, Lefschetz numbers and induction maps, Tokyo Journ. Math., Vol. 11, pp. 289-302, 1988.
• A. Futaki, T. Mabuchi. An obstruction class and a representation of holomorphic automorphisms, Geometry and Analysis on Manifolds (T.Sunada ed.), Lecture Notes in Math., Springer-Verlag, Lecture Notes in Math., Springer-Verlag, Vol. 1339, pp. 127-141, 1988.
• Akito Futaki. The Ricci curvature of symplectic quotients of Fano manifolds,, Tohoku Math. J., Vol. 39, pp. 329-339, 1987.
• Akito Futaki. On a character of the automorphism group of a compact complex manifold, Invent. Math., Vol. 87, pp. 655-660, 1987.
• A. Futaki, S. Morita. Invariant polynomials of the automorphism group of a compact complex manifold, Journal of Differential Geometry, Vol. 21, pp. 135-142, 1985.
• A. Futaki, S. Morita. Invariant polynomials on compact complex manifolds, Proc. Japan Acad., Vol. 60, pp. 369-372, 1984.
• Akito Futaki. On compact Kaehler manifolds of constant scalar curvature, Proc. Japan Acad., Vol. 59, pp. 401-402, 1983.
• Akito Futaki. An obstruction to the existence of Einstein Kaehler Metrics, Invent. Math., Vol. 73, pp. 437-443, 1983.
• Akito Futaki. On compact Kaehler manifolds with semipositive bisectional curvature, Journ. Fac. Sci. Univ. Tokyo, Vol. 28, pp. 111--125, 1981.
• Akito Futaki. Nonexistence of minimizing harmonic maps from 2-sheres, Proc. Japan Acad., Vol. 56, pp. 291--293, 1980.
• Akito Futaki. On the uniqueness of the Dirichlet problem for harmonic maps, Journ. Fac. Sci. Univ. Tokyo, Vol. 27, pp. 181--192, 1980.

著書

• 二木昭人. 微分幾何講義 一般理論と現代物理への応用, 微分幾何講義 一般理論と現代物理への応用, サイエンス社, 2003.
• 二木昭人. 基礎講議線形代数学, 培風館, 培風館, 1999.
• 二木昭人. サイバーグ・ウィッテン理論とトポロジー(翻訳), 培風館, 培風館, 1998.
• 福田途宏, 稲葉尚志, 二木昭人. 教養の数学 改訂版, 培風館, 培風館, pp. 184, 1985.
• Akito Futaki. Kaehler-Einstein metrics and integral invariants, Springer-Verlag, Springer-Verlag, 1988.

国際会議発表 (査読有り)

• Akito Futaki. Asymptotic Chow semistability in K¥"ahler geometry, Fifth International Congress of Chinese Mathematicians, Dec. 2010.
• Akito Futaki. Toric Sasaki-Einstein Geometry, Fourth International Congress of Chinese Mathematicians,, Dec. 2007.

国内会議発表 (査読有り)

• 二木昭人. K"ahler および佐々木・Einstein 多様体に関する最近の進展, 日本数学会，総合講演, Sept. 2009.
• 二木昭人. Einstein 計量と GIT 安定性, 日本数学会年会, 企画特別講演, Mar. 2008.
• Akito Futaki. Toric Sasaki-Einstein geometry, 幾何学シンポジウム, Aug. 2007.

国際会議発表 (査読なし・不明)

• Akito Futaki. Lower diameter bounds for compact shrinking Ricci solitons, Introduction to Modern Mathematics, Sept. 2011.
• Akito Futaki. Integral invariants in complex geometry, Geometry Seminar, Beijing International Center for Mathematical Sciences, Sept. 2011.
• Akito Futaki. Extremal K¥"ahler metrics and GIT stability, Fall Program 2011, Sept. 2011.
• Akito Futaki. Integral invariants in complex differential geometry, Mathematics Colloquium, July 2011.
• Akito Futaki. Integral invariants in K¥"ahler geometry, Differentialgeometrie im Gro{¥ss}en, July 2011.
• Akito Futaki. Lower diameter bounds for compact shrinking solitons, Simons Center, Complex Geometry Seminar, May 2011.
• Akito Futaki. Asymptotic Chow semistability in K¥"ahler geometry, G¥'eom¥'etrie des vari¥'et¥'es complexes IV, Oct. 2010.
• Akito Futaki. Lower diameter bounds for compact shrinking solitons, The 6th Geometry Conference for Friendship of China and Japan, Sept. 2010.
• Akito Futaki. Toric Sasakian-Einstein manifolds, 2010 International Workshop on Differential Geometry, Gravitation and String Theory, Aug. 2010.
• Akito Futaki. K¥"ahler geometry and asymptotic Chow semistability, 5th Pacific Rim Conference on Mathematics, June 2010.
• Akito Futaki. Multiplier ideal sheaves and geometric problems, 2010 Great Lakes Geometry Conference, Apr. 2010.
• Akito Futaki. K¥"ahler geometry and asymptotic Chow semistability, One Day Conference on Geometry, Apr. 2010.
• Akito Futaki. Introduction to Sasakian geometry, Lecture series, Apr. 2010.
• Akito Futaki. K¥"ahler geometry and obstructions to asymptotic Chow semistability, Columbia Geometry and Analysis Seminar, Mar. 2010.
• Akito Futaki. K¥"ahler-Ricci solitons and Sasaki-Einstein geometry, Geometry/Topology Seminar, Mar. 2010.
• Akito Futaki. Multiplier ideal sheaves and integral invariants, The 4th Pacific Rim Conference on Complex and Symplectic Geometry, Aug. 2009.
• Akito Futaki. Constructing K"ahler-Ricci solitons from Sasaki-Einstein metrics, Extremal Kaehler metrics, July 2009.
• Akito Futaki. Hilbert series and obstructions to asymptotic semistability, Kaehler and Sasakian Geometry, June 2009.
• Akito Futaki. Multiplier ideal sheaves and integral invariants, Variational problems in differential geometry, Mar. 2009.
• Akito Futaki. Hilbert series and obstructions to asymptotic semistability, Supersymmetry in complex geometry, Jan. 2009.
• Akito Futaki. Toric Sasaki-Einstein manifolds, NCTS/TPE and TIMS Geometry Seminar, Dec. 2008.
• Akito Futaki. Hilbert series and obstructions to asymptotic semistability, The Ninth Pacific Rim Geometry Conference, Dec. 2008.
• Akito Futaki. Hilbert series and obstructions to asymptotic semistability, The 4th Geometry Conference for the Friendship of China and Japan, Dec. 2008.
• Akito Futaki. Toric Sasaki-Einstein manifolds, Geometry and Mathematical Physics, in Memory of Krzysztof Galicki, Oct. 2008.
• Akito Futaki. Perturbed extremal Kaehler metrics and Calabi's decomposition theorem, Extremal Kaehler Metrics and Kaehler-Ricci Flow, Mar. 2008.
• Akito Futaki. Toric Sasaki-Einstein Geometry, Extremal Kaehler Metrics and Kaehler-Ricci Flow, Mar. 2008.

国内会議発表 (査読なし・不明)

• Akito Futaki. Lower diameter bounds for compact shrinking solitons, 第１６回複素幾何シンポジウム, Oct. 2010.
• Akito Futaki. K¥"ahler geometry and asymptotic Chow semistability, Lie変換群と複素幾何学, Sept. 2010.
• 二木昭人. Fano 多様体上の Bakry-¥'Emery 幾何, 慶応大学幾何セミナー, Apr. 2010.
• 二木昭人. ケーラー幾何と漸近的 Chow 半安定性, Complex Geometry 2010, Mar. 2010.
• 二木昭人. 乗数イデアル層と積分不変量, 筑波大学談話会, Feb. 2010.
• Akito Futaki. Multiplier ideal sheaves and integral invariants, 城崎代数幾何シンポジウム, Oct. 2009.
• A.Futaki, H.Ono and Y.Sano. Hilbert series and obstructions to asymptotic semistability, 日本数学会年会, Mar. 2009.
• Akito Futaki. Hilbert series and obstructions to asymptotic semistability, 第４回代数・解析・幾何学セミナー, Feb. 2009.
• Akito Futaki. Holomorphic vector fields and perturbed extremal Kahler metrics, Geometry related to variational problems and integrable systems, Jan. 2009.
• Akito Futaki. Hilbert series and obstructions to asymptotic semistability, 第１４回複素幾何シンポジウム, Oct. 2008.
• 二木昭人. 乗数イデアル層と積分不変量, 日本数学会年会, Mar. 2008.
• 二木昭人. トーリック佐々木アインシュタイン多様体, 東京大学トポロジー火曜セミナー, Oct. 2007.
• Akito Futaki. Holomorphic vector fields and perturbed extremal Kaehler metrics, 第１３回複素幾何シンポジウム, Oct. 2007.

学位論文

• ケーラー・アインシュタイン多様体と積分不変量,  本文,  Doctor of Science,  東京大学,  1987/--/--, 
• 調和写像の境界値問題の一意性について,  修士(工学),  東京大学,  1979/--/--, 

[ BibTeX 形式で保存 ]    [ 論文・著書をCSV形式で保存 ]    [ 特許をCSV形式で保存 ]