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Configuration space of some mechanical system and towers of bundles associated to a special multi-flag - MaRDI portal

Configuration space of some mechanical system and towers of bundles associated to a special multi-flag (Q664930)

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scientific article; zbMATH DE number 6011566
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English
Configuration space of some mechanical system and towers of bundles associated to a special multi-flag
scientific article; zbMATH DE number 6011566

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    Configuration space of some mechanical system and towers of bundles associated to a special multi-flag (English)
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    5 March 2012
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    It is shown that the configuration spaces of an articulated arm of length \(k\) in \(\mathbb R^{m+1}\) gives rise to a natural tower of sphere bundles. Moreover, it is proved that, each tower of projective bundles associated to special multi-flags, one can associate such a tower of sphere bundles which is a two-fold covering of the previous one.
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    tower of sphere bundles
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    projective bundles associated to multiflags
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