TITLE:
NUVO Space I: Unit-Constrained Frame Bundle and Conformal Scalar
AUTHORS:
Rickey W. Austin
KEYWORDS:
NUVO Manifold, Conformal Geometry, Scalar Field Geometry, Differential Geometry of Scalar Manifolds, Unit-Constrained Frames
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.11,
November
3,
2025
ABSTRACT: We construct the differential-geometric foundation of NUVO space as a conformally flat manifold
(
M,g
)
endowed with a scalar unit constraint. Starting from a flat background form
η
and scalar
λ>0
, we derive the associated frame-bundle reduction, induced metric
g=
λ
2
η
, and Levi-Civita connection. Existence, uniqueness, and regularity of the induced connection are proved, defining the canonical calculus objects required for subsequent curvature and variational analyses.