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Higher order lifts of different classes of almost Hermitian manifolds
Maurya, Himanshu
Civelek, Sevket
Tripathi, Mukut Mani
2026
Abstract
The paper compiles the fundamental properties of lifts associated with extended affine connections and presents a relevant lemma. Furthermore, we extend a classical result of Yano and Ishihara to the k-th order lift, providing a higher-order formulation of complete lifts of wedge products and exterior derivatives. By applying lifting techniques to geometric structures on higher-order tangent bundles, we obtain new results for various standard classes of almost Hermitian manifolds. This study provides a unified perspective on standard classes of almost Hermitian manifolds, the theory of lifts, and the extensions of these structures.
Journal
Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
Publisher
EUT Edizioni Università di Trieste
Source
Himanshu Maurya, Sevket Civelek, and Mukut Mani Tripathi, "Higher order lifts of different classes of almost Hermitian manifolds" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol. 58 (2026)", EUT Edizioni Università di Trieste, Trieste, 2026, pp.
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International