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- W1504651796 abstract "In the previous paper [7], we have studied the relationship between the Riemannian connection of an n -dimensional Riemannian space M imbedded into the (n + k) -dimensional Euclidean space R n+k and the canonical connection in the bundle P n, k = O(n + k)/{l} Х O(k) over the Grassmann manifold M n, k = O(n + k)/O(n) Х O(k) . In the first half of the present paper, the relationship between the canonical connections in bundles and the invariant Riemannian connection on M n, k will be discussed. We obtain the holonomy groups of these canonical connections." @default.
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- W1504651796 date "1957-02-01" @default.
- W1504651796 modified "2023-10-18" @default.
- W1504651796 title "Canonical Connections and Pontrjagin Classes" @default.
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- W1504651796 doi "https://doi.org/10.1017/s0027763000001975" @default.
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