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Killing Tensors from Conformal Killing Vectors [PDF]

open access: yesarXiv, 2002
Some years ago Koutras presented a method of constructing a conformal Killing tensor from a pair of orthogonal conformal Killing vectors. When the vector associated with the conformal Killing tensor is a gradient, a Killing tensor (in general irreducible) can then be constructed. In this paper it is shown that the severe restriction of orthogonality is
arxiv  

Rigidity of Killing-Yano and conformal Killing-Yano superalgebras [PDF]

open access: yesarXiv, 2017
Symmetry algebras of Killing vector fields and conformal Killing vectors fields can be extended to Killing-Yano and conformal Killing-Yano superalgebras in constant curvature manifolds. By defining $\mathbb{Z}$-gradations and filtrations of these superalgebras, we show that the second cohomology groups of them are trivial and they cannot be deformed to
arxiv  

Conformal Killing forms on Riemannian manifolds [PDF]

open access: yesarXiv, 2002
Conformal Killing forms are a natural generalization of conformal vector fields on Riemannian manifolds. They are defined as sections in the kernel of a conformally invariant first order differential operator. We show the existence of conformal Killing forms on nearly Kaehler and weak G_2-manifolds.
arxiv  

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