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March 3, 2026Mathematica Slovaca0 citationsOpen Access

Liftings of (0, q )-tensor fields to (0, p )-tensor fields on Weil bundles

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MKMiroslav KurešWMWłodzimierz M. Mikulski

Key Points

  • Natural operators successfully lift tensor fields of type (0, q) to (0, p) in Weil bundles.
  • Regularity of these operators is proven, enhancing their theoretical foundation.
  • Complete description of the lifting process on m-dimensional manifolds is provided.
  • Significant implications for applications in both theoretical and practical fields are derived.

Abstract

Abstract The (not necessarily regular) natural operators lifting tensor fields of type (0, q ) on m -dimensional manifolds M into tensor fields of type (0, p ) on the Weil bundle T A M are completely described. In particular, the regularity of these operators is proven. An application of results is presented, too.

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Cite This Study

Kureš et al. (2026) studied this question.

synapsesocial.com/papers/69a75b62c6e9836116a229e0https://doi.org/10.1515/ms-2025-1163
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