Higher-dimensional analogues of projective incidence theorems

Identify which projective incidence theorems, beyond the cited three-dimensional analogue of Pappus's theorem, admit higher-dimensional analogues.

Background

The paper highlights classical planar theorems such as Pappus's theorem and notes that some higher-dimensional incidence results are known. It leaves open the broader classification of projective theorems that extend to higher dimensions.

References

Which other theorems have higher dimensional analogues?

— Counting for rigidity under projective transformations in the plane  (2503.07228 - Berman et al., 10 Mar 2025) in Section "Open problems and future work," subsection "Extensions to higher dimensions"