New Conformal Invariants in Absolute Parallelism Geometry
Nabil L. Youssef, A. Soleiman, Ebtsam H. Taha
TL;DR
This paper explores conformal transformations in absolute parallelism geometry, identifying new invariants that relate the Weitzenb"ock and Levi-Civita connections, advancing understanding of geometric structures under conformal changes.
Contribution
It introduces novel conformal invariants in absolute parallelism geometry, linking different connections, which was not previously established.
Findings
New conformal invariants expressed via Weitzenb"ock and Levi-Civita connections
Enhanced understanding of conformal transformations in absolute parallelism geometry
Potential applications in geometric analysis and theoretical physics
Abstract
The aim of the present paper is to investigate conformal changes in absolute parallelism geometry. We find out some new conformal invariants in terms of the Weitzenb\"ock connection and the Levi-Civita connection of an absolute parallelism space.
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