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Study proves Pestov identity in Riemannian manifolds, suggesting broader geometric implications.
We prove a global Pestov identity on the (orthonormal) frame bundle of a Riemannian manifold and deduce similar identities on associated homogeneous fibrations. As a particular example, this provides a concise proof of the Pestov identity on the unit tangent bundle of the manifold.
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Cekić et al. (2026) studied this question.
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