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Lobachevskii Journal of Mathematics, 2007, Volume 27, Pages 41–46
(Mi ljm38)
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Riemannian structures on higher order frame bundles over Riemannian manifolds
J. Kureka, W. M. Mikulskib a Institute of Mathematics, Maria Curie-Sklodowska University
b Jagiellonian University
Abstract:
We describe all $\mathcal Mf_m$-natural operators $A\colon\mathcal Riem\to\mathcal Riem P^r$ transforming Riemannian structures $g$ on $m$-dimensional manifolds $M$ into Riemannian structures $A(g)$ on the $r$-th order frame bundle $P^rM=invJ_0^r(\mathbf R^m, M)$ over $M$.
Keywords:
Riemannian structure, higher order frame bundle, natural operator.
Citation:
J. Kurek, W. M. Mikulski, “Riemannian structures on higher order frame bundles over Riemannian manifolds”, Lobachevskii J. Math., 27 (2007), 41–46
Linking options:
https://www.mathnet.ru/eng/ljm38 https://www.mathnet.ru/eng/ljm/v27/p41
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Statistics & downloads: |
Abstract page: | 494 | Full-text PDF : | 178 | References: | 73 |
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