Results 11 to 20 of about 846,182 (334)
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, Andrei Moroianu
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Do Killing–Yano tensors form a Lie algebra? [PDF]
Classical and Quantum Gravity, 2007 Killing-Yano tensors are natural generalizations of Killing vectors. We investigate whether Killing-Yano tensors form a graded Lie algebra with respect to the Schouten-Nijenhuis bracket. We find that this proposition does not hold in general, but that it does hold for constant curvature spacetimes.
David Kastor +2 more
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Killing 2-Forms in Dimension 4 [PDF]
, 2017 36 ...
Paul Gauduchon, Andrei Moroianu
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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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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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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, Josef Šilhan
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Rational Pontryagin classes and Killing forms [PDF]
Journal of Differential Geometry, 1981 Allen Back
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Conformal Killing forms in Kähler geometry
Illinois Journal of Mathematics, 2022 31 ...
Nagy, Paul-Andi, Semmelmann, Uwe
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