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math.DG2024
Generalization of Finite Entropy Measures in Kähler Geometry
P. Åhag, R. Czyż
In this paper, we extend the concept of finite entropy measures in Kähler geometry. We define the finite -entropy related to -plurisubharmonic functions and demonstrate their…
math.DG2024
On manifold-like polyfolds as differential geometrical objects with applications in complex geometry
Per Åhag, Rafał Czyż, Håkan Samuelsson Kalm +1
We argue for more widespread use of manifold-like polyfolds (M-polyfolds) as differential geometric objects. M-polyfolds possess a distinct advantage over differentiable manifolds,…