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math.DG2020
Killing tensor fields of third rank on a two-dimensional Riemannian torus
Vladimir A. Sharafutdinov
A rank symmetric tensor field on a Riemannian manifold is called a Killing field if the symmetric part of its covariant derivative is equal to zero. Such a field determines the…
math.AP2020
An estimate for the Steklov zeta function of a planar domain derived from a first variation formula
Alexandre Jollivet, Vladimir Sharafutdinov
We consider the Steklov zeta function of a smooth bounded simply connected planar domain R 2 of perimeter 2. We provide a first variation formula for $…