almost contact metric 1eta-einstein metrics 1newman-penrose formalism 1three-dimensional manifolds 1trans-sasakian 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.DG2026
Three-Dimensional Almost Contact Metric Manifolds Revisited via the Newman-Penrose Formalism
Satsuki Matsuno
The paper adapts the Newman‑Penrose formalism, originally from general relativity, to study three‑dimensional almost contact metric manifolds, reformulating known concepts and usin…
gr-qc2026
Geometric deformations of symmetric spacetimes with a string cloud
Hiroshi Kozaki, Satsuki Matsuno, Tatsuhiko Koike +2
We establish a deformation framework for highly symmetric solutions to the Einstein equations. In this framework, four-dimensional metrics are constructed from three-dimensional η…
math.DG2024
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…