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- W645012964 abstract "In this paper, we investigate the real Stiefel manifolds V k ( R n ) = SO ( n ) / SO ( n − k ) for n = 7 or n = 8 . If we identify R 7 and R 8 with Im C and C , respectively, then we have V 2 ( R 7 ) = G 2 / SU ( 2 ) , V 2 ( R 8 ) = Spin ( 7 ) / SU ( 3 ) , and V 3 ( R 8 ) = Spin ( 7 ) / SU ( 2 ) . These real Stiefel manifolds can be represented as an orbit of the action of the Lie group G 2 or Spin ( 7 ) . In this paper, we give the orbit decompositions of Stiefel manifolds related to the octonions C under the action of Lie group G 2 and Spin ( 7 ) ." @default.
- W645012964 created "2016-06-24" @default.
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- W645012964 date "2015-12-01" @default.
- W645012964 modified "2023-09-29" @default.
- W645012964 title "On fibre bundle structures of Stiefel manifolds related to the octonions" @default.
- W645012964 cites W3187477437 @default.
- W645012964 doi "https://doi.org/10.1016/j.topol.2015.05.025" @default.
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