Additive angles in H_3
Dmitriy G. Pavlov, Sergey S. Kokarev
TL;DR
This paper explores additive poly-angles in Berwald-Moor Geometry within H_3, revealing an infinite variety of such angles when considering additivity broadly.
Contribution
It introduces the concept of additive poly-angles in H_3 and demonstrates the existence of infinitely many such angles under broad additivity conditions.
Findings
Existence of infinitely many additive poly-angles in H_3
Development of a framework for additive angles in Berwald-Moor Geometry
Extension of angle concepts beyond classical definitions
Abstract
Within the framework of Berwald-Moor Geometry in H_3, the paper studies the construction of additive poly-angles (bingles and tringles). It is shown that, considering additiveness in the large, there exist an infinity of such poly-angles.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Mathematics and Applications