The stability of a connection on Hermitian vector bundles over a Riemannian manifold (Q2806075)
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scientific article; zbMATH DE number 6580708
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The stability of a connection on Hermitian vector bundles over a Riemannian manifold |
scientific article; zbMATH DE number 6580708 |
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The stability of a connection on Hermitian vector bundles over a Riemannian manifold (English)
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13 May 2016
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connection
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generalized Jensen-type functional equation
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Hermitian vector bundles
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Hyers-Ulam-Rassias stability
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The authors use the usual fixed point method to prove the generalized Hyers-Ulam stability of connections on Hermitian vector bundles over a Riemannian manifold for the generalized Jensen-type functional equation \(rf((x+y)/r)=f(x)+f(y)\).NEWLINENEWLINE Reviewer's remark: Stability of a general form of the Jensen inequality has been already investigated in [\textit{S.-M. Jung} et al. [J. Math. Inequal. 4, No. 2, 191--206 (2010; Zbl 1219.39016)]; see also \textit{S.-M. Jung} [Proc. Am. Math. Soc. 126, No. 11, 3137--3143 (1998; Zbl 0909.39014)].
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