14 citations · 59 across the 22 of their papers we have counts for
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The inverse Monge-Ampere flow and applications to Kahler-Einstein metrics
Tristan C. Collins, Tomoyuki Hisamoto, Ryosuke Takahashi
We introduce the inverse Monge-Ampere flow as the gradient flow of the Ding energy functional on the space of Kahler metrics in for . We prove the long-time e…
Index theorem for Z/2-harmonic spinors
Ryosuke Takahashi
In my previous paper, I prove the existence of the Kuranishi structure for the moduli space of zero loci of -harmonic spinors on a 3-manifold. So a nat…
Smooth approximation of the modified conical Kähler-Ricci flow
Ryosuke Takahashi
We introduce the conical Kähler-Ricci flow modified by a holomorphic vector field. We construct a long-time solution of the modified conical Kähler-Ricci flow as the limit of a seq…
The Hessian of quantized Ding functionals and its asymptotic behavior
Ryosuke Takahashi
We compute the Hessian of quantized Ding functionals and give an elementary proof for the convexity of quantized Ding functionals along Bergman geodesics from the view point of pro…