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 formηand scalarλ>0,we derive the associate...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 formηand scalarλ>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.展开更多
文摘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 formηand scalarλ>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.
