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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.DG2019
Application of geometric symbol calculus to computing heat invariants
Vladimir Sharafutdinov
The problem of evaluating heat invariants can be computerized. Geometric symbol calculus of pseudodifferential operators is the main tool of such computerization.
math.DG2011★ 2 cited
On conformal Killing symmetric tensor fields on Riemannian manifolds
Nurlan S. Dairbekov, Vladimir A. Sharafutdinov
A vector field on a Riemannian manifold is called conformal Killing if it generates one-parameter group of conformal transformations. The class of conformal Killing symmetric tenso…