Abstract
Let \(p_F :FN \rightarrow N\) be the bundle of linear frames of a \(C^\infty \) manifold N. The Lagrangian induced on FN by the Einstein–Hilbert Lagrangian is written as a differentiable function of the system of \(\mathrm {Diff}N\)-invariant Lagrangian defined on the linear frame bundle.
Dedicated to Jaime Muñoz Masqué, from our deepest gratitude and friendship, on the occasion of his 65th birthday.
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Pozo, L., Rosado, E. (2016). Einstein–Hilbert Lagrangian Induced on the Linear Frame Bundle. In: Castrillón López, M., Hernández Encinas, L., Martínez Gadea, P., Rosado María, M. (eds) Geometry, Algebra and Applications: From Mechanics to Cryptography. Springer Proceedings in Mathematics & Statistics, vol 161. Springer, Cham. https://doi.org/10.1007/978-3-319-32085-4_17
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