Huai-Dong Cao

• On Bach-flat gradient shrinking Ricci solitons, with Q. Chen, accepted by Duke Math. J.
• About the Calabi problem: a finite dimensional approach, with J. Keller, to appear in J. European Math. Soc.
  
• On the structure of gradient Yamabe solitons, with X. Sun and Y. Zhang, accepted by Math. Res. Lett.
• A gap theorem for self-shrinkers of the mean curvature flow in arbitrary codimension, with H. Li, to appear in Calc. Var. Partial Diffential Equations
  
• On second variation of Perelman's Ricci shrinker entropy, with M. Zhu, Math. Ann., 353 (2012), no. 3, 747-763.
• On locally conformally flat gradient steady Ricci solitons, with Q. Chen, Trans. Amer. Math. Soc. 364 (2012), 2377-2391.
• Geometry of complete gradient shrinking Ricci solitons, Advanced Lectures in Mathematics, 17 (2011), 227-246.
• On complete gradient shrinking Ricci solitons, with D. Zhou, J. Diifferential Geom., 85 (2010), 175-186.
• A note on compact  Kahler-Ricci flow with positive sectional curvature, with M. Zhu, Math. Res. Lett., 16 (2009), no. 6, 935-939.
• Singularities of the Ricci flow on 3-manifolds, Mat. Contemp., 34 (2008), 103-133.
• Recent developments on Hamilton's Ricci flow, with B.-L. Chen and X.-P. Zhu, Surveys in Differential Geometry, Vol. XII (2008), 47-112.
• A compactness result for Kahler-Ricci solitons, with N. Sesum, Adv. Math. 211 (2007), no. 2, 794-818.
• A Complete Proof of the Poincaré and Geometrization Conjectures - Application of the Hamilton-Perelman theory of the Ricci flow, with Xi-Ping Zhu, Asain J. Math.  10 (2006), no. 2,  165-492.
• Geometry of Ricci solitons, Chinese Ann. Math. Ser. B 27 (2006), 121-142.
  
• Supersymmetry in Calabi-Yau geometry, with J. Zhou,  Asian J. Math.  9 (2005), no. 2, 167-176.
  
• Kaehler-Ricci solitons on compact complex manifolds with  c_1(M)>0, with G. Tian and X. Zhu, GAFA, 15 (2005), no.3, 697-719.
• Matrix Li-Yau-Hamilton estimate for the heat equation on Kaehler manifolds, with Lei Ni,  Math. Ann.  331 (2005), no.4, 795 - 807.
• On dimension reduction in the Kaehler-Ricci flow,  Comm. Anal. Geom.  12 (2004), 305-320
  
• Ricci flow on compact Kaehler manifolds with positvie bisectional curvature, with B.-L. Chen and X.-P. Zhu,  C. R. Acad. Sci. Paris Ser. I Math.  337 (2003), 781-784.
• On quasi-isomorphic DGBV algebras, with J. Zhou, Math. Ann.,  326 (2003), 459-478
• DGBV algebras and mirror symmetry, with Jian Zhou, Proceedings of the First International Congress of Chinese Mathematicians (Beijing, 1998), AMS/IP Studies in Advanced Mathematics, 20 (2001), 279-289.
• Frobenius manifold structure on Dolbeault cohomology and mirror symmetry, with Jian Zhou, Comm. Anal. Geom. 8 (2000), no.4, 795-808.
• Gradient Kaehler-Ricci solitons and periodic orbits, with Richard S. Hamilton, Comm. Anal. Geom. 8 (2000), no.3, 517-529.
• Formal Frobenius manifold structure on equivariant cohomology, with Jian Zhou, Commun. Contemp. Math. 1 (1999), no. 4, 535-552.
• Identification of two Frobenius manifolds, with Jian Zhou, Math. Res. Lett. 6 (1999), 17-29.
• On quantum de Rham cohomology theory, with Jian Zhou, ERA. Amer. Math. Soc. 5 (1999), pp. 24-34.
• Recent developments on the Ricci flow, with Ben Chow, Bull. Amer. Math. Soc. 36 (1999), 59-74.
• Equivariant cohomology and wall crossing formulas in Seiberg-Witten theory, with Jian Zhou, Math. Res. Lett. 5 (1998), 711-721.
• A Bernstein theorem for complete spacelike constant mean curvature hypersurfaces in Minkowski space, with Y. Shen and S. Zhu, Calc. Var. Partial Differential Equations 7 (1998), 141-157.
• The structure of stable minimal hypersurfaces in Rⁿ⁺¹, with Y. Shen and S. Zhu, Math. Res. Lett. 4 (1997), 637-645.
• Limits of solutions to the Kaehler-Ricci flow, J. Differential Geometry 45 (1997), 257-272.
• Existence of gradient Kaehler-Ricci solitons, Elliptic and Parabolic Methods in Geometry, A.K. Peters, (1996) 1-16.
• Gradient estimates, Harnack inequalities and estimates for heat kernels of the sum of squares of vector fields, with S.-T. Yau, Math. Z. 211 (1992), no. 3, 485--504.
• On Harnack's inequalities for the Kaehler-Ricci flow, Invent. Math. 109 (1992), no. 2, 247--263.
• Holomorphic immersions between compact hyperbolic space forms, with N. Mok, Invent. Math. 100 (1990), no. 1, 49--61.
• Compact Kaehler manifolds with nonnegative curvature operator, with B. Chow, Invent. Math. 83 (1986), no. 3, 553--556.
• Deformation of Kaehler metrics to Kaehler-Einstein metrics on compact Kähler manifolds, Invent. Math. 81 (1985), no. 2, 359--372.
• Isolated points of algebraic varieties. (Chinese), with Z.K. Wang and X.L. Xu, Kexue Tongbao (Chinese) 29 (1984), no. 7, 385--387.