March 3, 2026Open Access

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

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.

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

Key Points

Abstract

Cite This Study