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On Killing Forms and Invariant Forms of Lie-Yamaguti Superalgebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2017 The notions of the Killing form and invariant form in Lie algebras are extended to the ones in Lie-Yamaguti superalgebras and some of their properties are investigated. These notions are also Z2-graded generalizations of the ones in Lie-Yamaguti algebras.
Patricia L. Zoungrana, A. Nourou Issa
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Killing-Yano forms and Killing tensors on a warped space [PDF]
Physical Review D, 2016 We formulate several criteria under which the symmetries associated with the Killing and Killing-Yano tensors on the base space can be lifted to the symmetries of the full warped geometry. The procedure is explicitly illustrated on several examples, providing new prototypes of spacetimes admitting such tensors.
Pavel Krtouš +2 more
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Killing Forms on 2-Step Nilmanifolds [PDF]
The Journal of Geometric Analysis, 2019 We study left-invariant Killing $k$-forms on simply connected $2$-step nilpotent Lie groups endowed with a left-invariant Riemannian metric. For $k=2,3$, we show that every left-invariant Killing $k$-form is a sum of Killing forms on the factors of the de Rham decomposition. Moreover, on each irreducible factor, non-zero Killing $2$-forms define (after
Viviana del Barco +3 more
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The conformal Killing equation on forms—prolongations and applications [PDF]
Differential Geometry and its Applications, 2008 We construct a conformally invariant vector bundle connection such that its equation of parallel transport is a first order system that gives a prolongation of the conformal Killing equation on differential forms. Parallel sections of this connection are related bijectively to solutions of the conformal Killing equation.
A. Rod Gover +3 more
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Killing 2-Forms in Dimension 4 [PDF]
, 2017 36 ...
Paul Gauduchon, Andrei Moroianu
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Conformal Killing forms on Riemannian manifolds [PDF]
Mathematische Zeitschrift, 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.
Uwe Semmelmann
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Einstein warped product spaces on Lie groups
Cubo, 2022 We consider a compact Lie group with bi-invariant metric, coming from the Killing form. In this paper, we study Einstein warped product space, $M = M_1 \times_{f_1} M_2$ for the cases, $(i)$ $M_1$ is a Lie group $(ii)$ $M_2$ is a Lie group and $(iii ...
Buddhadev Pal +2 more
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Rational Pontryagin classes and Killing forms [PDF]
Journal of Differential Geometry, 1981 Allen Back
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