Energy functionals on almost K\"ahler manifolds: I
Ken Wang, Zuyi Zhang, Jiuru Zhou
TL;DR
This paper extends the study of energy functionals from K"ahler to almost K"ahler manifolds, focusing on the Donaldson gauge and twisted Aubin functionals, and generalizing key inequalities.
Contribution
It introduces generalized inequalities between Aubin functionals on almost K"ahler manifolds, broadening the scope of geometric analysis in this setting.
Findings
Generalization of Aubin functional inequalities to almost K"ahler manifolds
Analysis of the Donaldson gauge functional in the almost K"ahler context
Establishment of foundational inequalities for energy functionals
Abstract
In this paper, we consider the Donaldson gauge functional and the twisted Aubin functionals on almost K\"ahler manifolds. As in K\"ahler geometry, we generalize the inequality between Aubin functionals.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations