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| In 1960's Kra asked whether $tmu$ $(0<t<1)$ is a trivial Beltrami coefficient whenever $mu$ is trivial, and Gehring and Reich-Strebel independently gave some counter-examples to this question. In this short note we will discuss Kra's question in another direction, namely, we are concerned with those Beltrami coefficients $mu$ such that all $tmu$ $(0le tle 1)$ are trivial. An application is given to the geodesic segments in infinite dimensional Teichm"uller spaces. |
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| Keywords:quasiconformal mapping, trivial Beltrami coefficient, locally trivial Beltrami coefficient, Teichm |
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