Lecture Notes

Publications and preprints

1. V. Tosatti and B. Weinkove, On the evolution of a Hermitian metric by its Chern-Ricci form, preprint, arXiv
2. J. Song, G. Szekelyhidi and B. Weinkove, The Kähler-Ricci flow on projective bundles, preprint, arXiv
3. M. Sherman and B. Weinkove, Interior derivative estimates for the Kähler-Ricci flow, preprint, arXiv
4. J. Song and B. Weinkove, Contracting exceptional divisors by the Kähler-Ricci flow II, preprint, arXiv
5. V. Tosatti and B. Weinkove, Plurisubharmonic functions and nef classes on complex manifolds, to appear in Proc. Amer. Math. Soc., arXiv
6. J. Song and B. Weinkove, Contracting exceptional divisors by the Kähler-Ricci flow, preprint, arXiv
7. V. Tosatti and B. Weinkove, The complex Monge-Ampère equation on compact Hermitian manifolds, J. Amer. Math. Soc. 23 (2010), no.4, 1187-1195,  arXiv
8. V. Tosatti and B. Weinkove, Estimates for the complex Monge-Ampère equation on Hermitian and balanced manifolds, Asian J. Math. 14 (2010), no.1, 19-40,  arXiv
9. V. Tosatti and B. Weinkove, The Calabi-Yau equation on the Kodaira-Thurston manifold, to appear in J. Inst. Math. Jussieu, arXiv
10. J. Song and B. Weinkove, The Kähler-Ricci flow on Hirzebruch surfaces, to appear in Crelle's Journal, arXiv
11. V. Tosatti and B. Weinkove, The Calabi-Yau equation, symplectic forms and almost complex structures, in Geometry and Analysis, Vol. I, 475-493, Advanced Lectures in Math. 17, International Press, 2010,  arXiv
12. D.H. Phong, J. Song, J. Sturm and B. Weinkove, The modified Kähler-Ricci flow and solitons, to appear in Comment. Math. Helv., arXiv
13. D.H. Phong, J. Song, J. Sturm and B. Weinkove, The Kähler-Ricci flow with positive bisectional curvature, Invent. Math. 173 (2008), no. 3, 651--665, arXiv
14. D.H. Phong, J. Song, J. Sturm and B. Weinkove, The Kähler-Ricci flow and the $\overline{\partial}$ operator on vector fields, J. Differential Geometry 81 (2009), 631--647, arXiv
15. J. Song and B. Weinkove,  Constructions of Kähler-Einstein metrics with negative scalar curvature, Math. Ann. 347 (2010), no. 1, 59--79, arXiv
16. V. Tosatti, B. Weinkove and S.-T. Yau, Taming symplectic forms and the Calabi-Yau equation, Proc. London Math. Soc. 97 (2008), no.2, 401--424, arXiv
17. V. Tosatti and B. Weinkove, The Calabi flow with small initial energy, Math. Res. Lett. 14 (2007), no. 6, 1033--1039, arXiv
18. D.H. Phong, J. Song, J. Sturm and B. Weinkove, The Moser-Trudinger inequality on Kähler-Einstein manifolds, Amer. J. Math. 130 (2008), no. 4, 1067--1085, arXiv
19. J. Song and B. Weinkove, On the convergence and singularities of the J-flow with applications to the Mabuchi energy, Comm. Pure Appl. Math. 61 (2008), no. 2, 210--229, arXiv
20. B. Weinkove, The Calabi-Yau equation on almost-Kähler four-manifolds, J. Differential Geometry 76 (2007), 317--349, arXiv
21. J. Song and B. Weinkove, Energy functionals and canonical Kähler metrics, Duke Math. J. 137 (2007), no. 1, 159--184, arXiv
22. J. Song and B. Weinkove, On Donaldson's flow of surfaces in a hyperkähler four-manifold, Math. Z. 256 (2007), no. 4, 769--787, arXiv
23. B. Weinkove, A complex Frobenius theorem, multiplier ideal sheaves and Hermitian-Einstein metrics on stable bundles, Trans. Amer. Math. Soc.  359  (2007),  no. 4, 1577--1592, arXiv
24. B. Weinkove, On the J-flow in higher dimensions and the lower boundedness of the Mabuchi energy, J. Differential Geom.  73  (2006),  no. 2, 351--358, arXiv
25. B. Weinkove, Convergence of the J-flow on Kähler surfaces, Comm. Anal. Geom.  12  (2004),  no. 4, 949--965, arXiv
26. B. Weinkove, Singularity formation in the Yang-Mills flow, Calc. Var. Partial Differential Equations  19  (2004),  no. 2, 211--220, arXiv
    
    Return to Home Page.