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- T. Mabuchi, The work of Akito Futaki-the flow of Futaki's invariant from Kaehler manifolds to Sasaki manifolds. (Japanese) Sugaku 64 (2012), no. 2, 185--190.
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- T. Mabuchi, An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. II, Osaka J. Math. 46 (2009), no. 1, 115--139.
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- T. Mabuchi, Chow-stability and Hilbert-stability in Mumford's geometric invariant theory. Osaka J. Math. 45 (2008), no. 3, 833-846.
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- T. Mabuchi, Extremal metrics and stabilities on polarized manifolds, International Congress of Mathematicians, Vol. II, 813--826, Eur. Math. Soc., Zürich, 2006.
- T. Mabuchi, An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds I, Invent. Math. 159 (2005), no. 2, 225--243.
- T. Mabuchi, Stability of extremal Kähler manifolds, Osaka J. Math. 41 (2004), no. 3, 563--582.
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- T. Mabuchi, Uniqueness of extremal Kähler metrics for an integral Kähler class, Internat. J. Math. 15 (2004), no. 6, 531--546.
- T. Mabuchi, An obstruction to asymptotic semistability and approximate critical metrics, Osaka J. Math. 41 (2004), no. 2, 463--472.
- T. Mabuchi, Multiplier Hermitian structures on Kähler manifolds, Nagoya Math. J. 170 (2003), 73--115.
- T. Mabuchi and Y. Nakagawa, The Bando-Calabi-Futaki character as an obstruction to semistability, Math. Ann. 324 (2002), no. 1, 187--193.
- A. Futaki and T. Mabuchi, Moment maps and symmetric multilinear forms associated with symplectic classes, Asian J. Math. 6 (2002), no. 2, 349--371.
- T. Mabuchi, Heat kernel estimates and the Green functions on multiplier Hermitian manifolds, Tohoku Math. J. (2) 54 (2002), no. 2, 259--275.
- T. Mabuchi, A theorem of Calabi-Matsushima's type, Osaka J. Math. 39 (2002), no. 1, 49--57.
- T. Mabuchi, Vector field energies and critical metrics on Kähler manifolds, Nagoya Math. J. 162 (2001), 41--63.
- T. Mabuchi, Kähler-Einstein metrics for manifolds with nonvanishing Futaki character. Tohoku Math. J. (2) 53 (2001), no. 2, 171--182.
- T. Mabuchi and Y. Nakagawa, An obstruction to semistability of manifolds, Proc. Japan Acad. Ser. A Math. Sci. 77 (2001), no. 4, 47--49.