For analytic Z in R^n with dim Z ≤ n-2 and curved Σ with positive sectional or geodesic curvature, the projection π to T_x S^{n-1} satisfies dim π(Z) = dim Z for H^{n-2}-almost every x in Σ.
Improved bounds for restricted families of projections to planes inR 3.International Mathematics Research Notices, 2020(19):5797–5813
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Restricted Projections to Hyperplanes in $\mathbb{R}^n$
For analytic Z in R^n with dim Z ≤ n-2 and curved Σ with positive sectional or geodesic curvature, the projection π to T_x S^{n-1} satisfies dim π(Z) = dim Z for H^{n-2}-almost every x in Σ.