On a generalized Calabi-Yau equation
Hongyu Wang, Peng Zhu
TL;DR
This paper extends a non-existence result for the generalized Calabi-Yau equation, originally proved in complex dimension 2, to manifolds of arbitrary dimension, advancing understanding in almost-Kähler geometry.
Contribution
It generalizes a key non-existence theorem for the generalized Calabi-Yau equation beyond complex dimension 2 to all dimensions.
Findings
Non-existence result extended to arbitrary dimensions.
Supports the conjecture about solutions in almost-Kähler manifolds.
Provides new insights into the structure of the generalized Calabi-Yau equation.
Abstract
Dealing with the generalized Calabi-Yau equation proposed by Gromov on closed almost-K\"ahler manifolds, we extend to arbitrary dimension a non-existence result proved in complex dimension 2.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry