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Rolling Stiefel manifolds
In this paper rolling maps for real Stiefel manifolds are studied. Real Stiefel manifolds being the set of all orthonormal k-frames of an n-dimensional real Euclidean space are compact manifolds. They are considered here as rigid bodies embedded in a suitable Euclidean space such that the corresponding Euclidean group acts on the rigid body by rotations and translations in the usual way. We der...
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Proof. First consider the following example of the Conner-Floyd theorem. Let H,,,,,(C) denote a non-singular hypersurface of degree (1,l) in the product P,,,(C) x P.(C). b terms of homogeneous co-ordinates (wO, . . . , w,) and (z,,, . . . , .z”) with m 5 n this hypersurface can be defined as the locus w,,z, + wlzl + . . . + w,,,z, = 0. It can also be thought of as a P,_,(C)-bundle over P,(C).] ...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2004
ISSN: 2156-2261
DOI: 10.1215/kjm/1250283089