TL;DR
This paper extends the concepts of mass and center of mass to laminae in the hyperbolic plane, revealing unexpected formulae and properties.
Contribution
It introduces new formulas for mass and center of mass in hyperbolic geometry, expanding classical notions to non-Euclidean contexts.
Findings
Derived novel formulae for mass in hyperbolic laminae
Discovered surprising properties of center of mass in hyperbolic space
Extended classical Euclidean concepts to hyperbolic geometry
Abstract
The notions of mass and center of mass are extended to laminae of the hyperbolic plane. The resulting formulae contain many surprises.
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Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics · Advanced Mathematical Theories