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Boothby, W.M. (1986) An Introduction to Differentiable Manifolds and Riemannian Geometry. 2nd Edition, Academic Press.

has been cited by the following article:

• 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.