Introduces a weighted Sasaki type metric on coframe bundles, revealing new insights into geodesics and curvature properties.
In this paper we introduce the weighted Sasaki type metric on the coframe bundle of a Riemannian manifold and investigate the Levi-Civita connection, curvature tensor, equations of geodesics of coframe bundle with this metric.
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Salimov et al. (2026) studied this question.
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