Ben Weinkove - Research

Curriculum Vitae

Publications

D.H. Phong, J. Song, J. Sturm, B. Weinkove, The Kähler-Ricci flow with positive bisectional curvature, preprint, arXiv
D.H. Phong, J. Song, J. Sturm, B. Weinkove, The Kähler-Ricci flow and the $\overline{\partial}$ operator on vector fields, preprint, arXiv
J. Song, B. Weinkove,  Constructions of Kähler-Einstein metrics with negative scalar curvature, preprint, arXiv
V. Tosatti, B. Weinkove, S.-T. Yau, Taming symplectic forms and the Calabi-Yau equation, preprint, arXiv
V. Tosatti, B. Weinkove, The Calabi flow with small initial energy, to appear in Math. Res. Lett., arXiv
D.H. Phong, J. Song, J. Sturm, B. Weinkove, The Moser-Trudinger inequality on Kähler-Einstein manifolds, to appear in Amer. J. Math., arXiv
J. Song, B. Weinkove, On the convergence and singularities of the J-flow with applications to the Mabuchi energy, to appear in Comm. Pure Appl. Math., arXiv
B. Weinkove, The Calabi-Yau equation on almost-Kähler four-manifolds, J. Differential Geometry 76 (2007), 317--349, arXiv
J. Song, B. Weinkove, Energy functionals and canonical Kähler metrics, Duke Math. J. 137 (2007), no. 1, 159--184, arXiv
J. Song, B. Weinkove, On Donaldson's flow of surfaces in a hyperkähler four-manifold, Math. Z. 256 (2007), no. 4, 769--787, arXiv
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
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
B. Weinkove, Convergence of the J-flow on Kähler surfaces, Comm. Anal. Geom.  12  (2004),  no. 4, 949--965, arXiv
B. Weinkove, Singularity formation in the Yang-Mills flow, Calc. Var. Partial Differential Equations  19  (2004),  no. 2, 211--220, arXiv