Reply to Comment on: "St\"ackel and Eisenhart lifts, Haantjes geometry and Gravitation"
Ond\v{r}ej Kub\r{u}, Piergiulio Tempesta
TL;DR
This paper clarifies aspects of geometric lifts, especially Stäckel lifts, in response to recent comments, aiming to refine understanding of these mathematical structures in differential geometry.
Contribution
It provides clarification on the concept of Stäckel lifts and addresses points raised in a recent comment, enhancing the theoretical understanding of geometric lifts.
Findings
Clarification of Stäckel lift properties
Resolution of misconceptions from the comment
Refinement of geometric lift definitions
Abstract
In a recent preprint, we discussed geometric lifts, and in particular the notion of St\"ackel lift. In this note, we wish to clarify several aspects raised in the comment arXiv:2511.05765.
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Taxonomy
TopicsRelativity and Gravitational Theory · Advanced Differential Geometry Research · Quantum and Classical Electrodynamics