3-Dimensional Schlaefli Formula and Its Generalization
Feng Luo
TL;DR
This paper explores identities related to the Schlaefli formula for tetrahedra in constant curvature spaces, extending the classical understanding of geometric volume relations.
Contribution
It introduces new identities similar to the Schlaefli formula for tetrahedra in curved spaces, generalizing the classical formula.
Findings
Established identities for tetrahedra in constant curvature spaces
Extended the classical Schlaefli formula to new geometric contexts
Provided mathematical proofs for the generalized identities
Abstract
Several identities similar to the Schlaefli formula are established for tetrahedra in a space of constant curvature.
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Taxonomy
TopicsMathematics and Applications · Matrix Theory and Algorithms · Advanced Mathematical Theories