67 citations · 78 across the 3 of their papers we have counts for
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A special class of symmetric Killing 2-tensors
Konstantin Heil, Tillmann Jentsch
We study symmetric Killing 2-tensors on Riemannian manifolds and show that several additional conditions can be realised only for Sasakian manifolds and Euclidean spheres. In parti…
Killing tensors on tori
Konstantin Heil, Andrei Moroianu, Uwe Semmelmann
We show that Killing tensors on conformally flat -dimensional tori whose conformal factor only depends on one variable, are polynomials in the metric and in the Killing vector f…
Killing and Conformal Killing tensors
Konstantin Heil, Andrei Moroianu, Uwe Semmelmann
We introduce an appropriate formalism in order to study conformal Killing (symmetric) tensors on Riemannian manifolds. We reprove in a simple way some known results in the field an…