TL;DR
This paper explores the concept of invariant means over integral currents, a type of generalized surface, for well-behaved functions, establishing conditions for their unique definition.
Contribution
It introduces a framework for defining and analyzing invariant means over integral currents for nice functions, highlighting their uniqueness.
Findings
Invariant means can be uniquely defined for nice functions over integral currents.
The framework provides a foundation for further analysis of currents in geometric measure theory.
The results may facilitate new approaches in the study of generalized surfaces.
Abstract
For nice functions, invariant means over integral currents (certain generalized surfaces), can be uniquely defined.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Geometry and complex manifolds · Geometric Analysis and Curvature Flows