66 citations · 176 across the 46 of their papers we have counts for
4 papers · 2 filters
The generalized Kähler Calabi-Yau problem
Vestislav Apostolov, Xin Fu, Jeffrey Streets +1
We formulate an extension of the Calabi conjecture to the setting of generalized Kähler geometry. We show a transgression formula for the Bismut Ricci curvature in this setting, wh…
Scalar curvature, entropy, and generalized Ricci flow
Jeffrey Streets
We derive a family of weighted scalar curvature monotonicity formulas for generalized Ricci flow, involving an auxiliary dilaton field evolving by a certain reaction-diffusion equa…
Bochner formulas, functional inequalities and generalized Ricci flow
Eva Kopfer, Jeffrey Streets
As a consequence of the Bochner formula for the Bismut connection acting on gradients, we show sharp universal Poincaré and log-Sobolev inequalities along solutions to generalized…
Kähler stability of symplectic forms
Jeffrey Streets, Gang Tian
Using dynamical stability of symplectic curvature flow, we show that on a compact Calabi-Yau manifold, any small symplectic deformation of a Kähler form remains Kähler.