3 papers
math.MG2026
The Spherical Hadwiger Theorem
Suijie Wang, Shengguo Wu
We prove the spherical Hadwiger classification in every dimension. For , every continuous -invariant valuation on the space of all closed spherical convex sets in…
gr-qc2026
Naked Singularities beyond Spherical Symmetry: Instability of -Self-Similar Solutions via an Iteration Scheme
Xinliang An, Shengrong Wu
This paper provides the instability counterpart to our recent construction of nonspherically symmetric approximating -self-similar naked-singularity solutions for the Einstein--…
gr-qc2026
Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System
Xinliang An, Shengrong Wu
In this work, we investigate the formation of naked singularities for the -dimensional Einstein-scalar field system without symmetry assumptions. We generalize the spherically…