Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pluriclosed flow, Born-Infeld geometry, and rigidity results for
  generalized K\"ahler manifolds   We prove long time existence and convergence results for the pluriclosed
flow, which imply geometric and topological classification theorems for
generalized K\"ahler structures. Our approach centers on the reduction of
pluriclosed flow to a degenerate parabolic equation for a $(1,0)$-form,
introduced in \cite{ST2}. We observe a number of differential inequalities
satisfied by this system which lead to a priori $L^{\infty}$ estimates for the
metric along the flow. Moreover we observe an unexpected connection to
"Born-Infeld geometry" which leads to a sharp differential inequality which can
be used to derive an Evans-Krylov type estimate for the degenerate parabolic
system of equations. To show convergence of the flow we generalize Yau's
oscillation estimate to the setting of generalized K\"ahler geometry.

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The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph