"RIV/00216208:11320/08:00100035!RIV09-MSM-11320___" . "Singapur" . . "373136" . . "Invariantnost g-p\u0159irozen\u00FDch metrik na te\u010Dn\u00FDch bandlech"@cs . . . . "Invariantnost g-p\u0159irozen\u00FDch metrik na te\u010Dn\u00FDch bandlech"@cs . . . . "In this paper we prove that each g-natural metric on a tangent bundle TM over a Riemannian manifold (M, g) is invariant with respect to the induced map of a (local) isometry of the base manifold. Then we apply this result to natural metrics on unit tangent sphere bundles."@en . "Sekizawa, Masami" . . "Invariance of g-natural metrics on tangent bundles"@en . "In this paper we prove that each g-natural metric on a tangent bundle TM over a Riemannian manifold (M, g) is invariant with respect to the induced map of a (local) isometry of the base manifold. Then we apply this result to natural metrics on unit tangent sphere bundles." . "P(GA201/05/2707), Z(MSM0021620839)" . . "Invariance; g-natural; metrics; tangent; bundles"@en . . "11"^^ . "Invariance of g-natural metrics on tangent bundles" . "Invariance of g-natural metrics on tangent bundles"@en . "Invariance of g-natural metrics on tangent bundles" . "Kowalski, Old\u0159ich" . "Proceedings of the 10th International Conference DGA 2007" . "11320" . "1"^^ . "[52ADA36A7099]" . "V tomto \u010Dl\u00E1nku dokazujeme, \u017Ee ka\u017Ed\u00E1 g-p\u0159irozen\u00E1 metrika na te\u010Dn\u00E9m bandlu TM Riemannovy variety (M,g) je invariantn\u00ED vzhledem k zobrazen\u00ED indukovan\u00E9mu (lok\u00E1ln\u00ED) izometri\u00ED z\u00E1kladn\u00ED variety. Potom aplikujeme tento v\u00FDsledek na p\u0159irozen\u00E9 metriky indukovan\u00E9 na jednotkov\u00FDch sf\u00E9rick\u00FDch te\u010Dn\u00FDch bandlech."@cs . . "World Scientific Publ. Company" . "981-279-060-8" . . . . "2"^^ . . "RIV/00216208:11320/08:00100035" . . . . "2008-01-01+01:00"^^ . "Singapur" . .