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math.DG2026
Generalized Killing spinors as Lagrangian sections of principal spin bundles
Fumihiro Ueno
In this paper, we study a one-to-one correspondence between -unit generalized Killing spinors on a three-dimensional pseudo-Riemannian spin manifold and Lagrangian secti…
math.DG2025
Homogeneous pseudo-Riemannian structures of metrics of Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime
Fumihiro Ueno
We classify homogeneous pseudo-Riemannian structures of a three-parameter family of metrics called Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime with their in…
math.DG2023
On Sasakian quasi-Killing spinors in three-dimensions
Satsuki Matsuno, Fumihiro Ueno
A Sasakian quasi-Killing spinor (SqK-spinor), which is a generalization of a Killing spinor on Sasakian manifolds, was defined in \cite{Kim Friedrich 2000}.The purpose of this pape…