26 citations · 34 across the 5 of their papers we have counts for
5 papers
On non-elliptic symplectic manifolds
Shouwen Fang, Hongyu Wang
Let be a closed symplectic manifold of dimension with non-ellipticity. We can define an almost Kähler structure on by using the given symplectic form. Hence, we have a…
An upper bound of the heat kernel along the harmonic-Ricci flow
Shouwen Fang, Tao Zheng
In this paper, we first derive a Sobolev inequality along the harmonic-Ricci flow. We then prove a linear parabolic estimate based on the Sobolev inequality and Moser's iteration.…
Isoperimetric inequality along the twisted Kähler-Ricci flow
Shouwen Fang, Tao Zheng
We prove a uniform isoperimetric inequality for all time along the twisted Kähler-Ricci flow on Fano manifolds.
The (logarithmic) Sobolev inequalities along geometric flow and applications
Shouwen Fang, Tao Zheng
For some class of geometric flows, we obtain the (logarithmic) Sobolev inequalities and their equivalence up to different factors directly and also obtain the long time non-collaps…
Inoue surfaces and the Chern-Ricci flow
Shouwen Fang, Valentino Tosatti, Ben Weinkove +1
We investigate the Chern-Ricci flow, an evolution equation of Hermitian metrics, on Inoue surfaces. These are non-Kahler compact complex surfaces of type Class VII. We show that, a…