2 citations · 2 across the 1 of their papers we have counts for
6 papers
All the three dimensional Lorentzian metrics admitting three Killing vectors
Masato Nozawa, Kentaro Tomoda
We obtain all the three-dimensional Lorentzian metrics which admit three Killing vectors. The classification has been done with the aid of the formalism which exploits the obstruct…
Counting the number of Killing vectors in a 3D spacetime
Masato Nozawa, Kentaro Tomoda
We devise an algorithm which allows one to count the number of Killing vectors for a Lorentzian manifold of dimension 3. Our algorithm relies on the principal traces of powers of t…
A criterion for the existence of Killing vectors in 3D
Boris Kruglikov, Kentaro Tomoda
A three-dimensional Riemannian manifold has locally 6, 4, 3, 2, 1 or none independent Killing vectors. We present an explicit algorithm for computing dimension of the infinitesimal…
On integrability of the Killing equation
Tsuyoshi Houri, Kentaro Tomoda, Yukinori Yasui
Killing tensor fields have been thought of as describing hidden symmetry of space(-time) since they are in one-to-one correspondence with polynomial first integrals of geodesic equ…
Rational first integrals of geodesic equations and generalised hidden symmetries
Arata Aoki, Tsuyoshi Houri, Kentaro Tomoda
We discuss novel generalisations of Killing tensors, which are introduced by considering rational first integrals of geodesic equations. We introduce the notion of inconstructible…
Antisymmetric tensor generalizations of affine vector fields
Tsuyoshi Houri, Yoshiyuki Morisawa, Kentaro Tomoda
Tensor generalizations of affine vector fields called symmetric and antisymmetric affine tensor fields are discussed as symmetry of spacetimes. We review the properties of the symm…