On the projections of Laplacians under Riemannian submersions.

Le, Huiling

Displaying similar documents to “On the projections of Laplacians under Riemannian submersions.”

Note on the classification theorems of $g$ -natural metrics on the tangent bundle of a Riemannian manifold $(M, g)$

Mohamed Tahar Kadaoui Abbassi (2004)

Commentationes Mathematicae Universitatis Carolinae

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In [7], it is proved that all $g$ -natural metrics on tangent bundles of $m$ -dimensional Riemannian manifolds depend on arbitrary smooth functions on positive real numbers, whose number depends on $m$ and on the assumption that the base manifold is oriented, or non-oriented, respectively. The result was originally stated in [8] for the oriented case, but the smoothness was assumed and not explicitly proved. In this note, we shall prove that, both in the oriented and non-oriented cases, the...

Geometrical aspects of the covariant dynamics of higher order

D. Opris, I. D. Albu (1998)

Czechoslovak Mathematical Journal

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We present some geometrical aspects of a higher-order jet bundle which is considered a suitable framework for the study of higher-order dynamics in continuous media. We generalize some results obtained by A. Vondra, [7]. These results lead to a description of the geometrical dynamics of higher order generated by regular equations.