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math.DG2025
Three-Dimensional Almost Contact Metric Manifolds Revisited via the Newman-Penrose Formalism
Satsuki Matsuno
This paper applies the Newman-Penrose formalism-a technique primarily used in General Relativity-to the analysis of three-dimensional almost contact metric (ACM) manifolds. We refo…
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…
math.DG2019
Characterization of 3D Sasakian manifold from magnetic Hopf surfaces
Satsuki Matsuno
In a three-dimensional Riemannian manifold M that admits a unit Killing vector field , we regard as a magnetic vector field. A magnetic Hopf surface is a surface obtained by…