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math.DG2026
Conformal Killing--Yano Ricci solitons: Structure, compatibility, and rigidity
Mohammadjavad Habibivostakolaei, Abbas M. Sherif, Yen-Kheng Lim
We introduce a geometric structure -- a conformal Killing--Yano Ricci soliton (CKY--RS) -- that couples conformal Ricci soliton (CRS) geometry to conformal Killing--Yano (CKY) 2--f…
math.DG2025
Instability of marginally outer trapped surfaces from initial data set symmetry
Abbas M. Sherif
Let be an initial data set and let be a symmetry vector of . Consider a MOTS in and let the symmetry vector be deco…
math.DG2021★ 3 cited
Conformal geometry on a class of embedded hypersurfaces in spacetimes
Abbas M. Sherif, Peter K. S. Dunsby
In this work, we study various properties of embedded hypersurfaces in decomposed spacetimes with a preferred spatial direction, denoted , which are orthogonal to the…