SPINORS AND ISOTROPES
Copyright policy )SPINORS AND ISOTROPES
Let E be an oriented real vector bundle equipped with a metric \(\beta\) of signature (p,q). Two results are proved. A regular full isotrope of (E,\(\beta)\) induces a \(Spin^ c\) structure for (E,\(\beta)\). A Spin structure for (E,\(\beta)\) induces a Spin structure for \((D^{\perp}/D,\beta_ D)\); likewise for \(Spin^ c\) structures. Here D is a real isotrope of (E,\(\beta)\) for which the inclusion in its \(\beta\)- orthogonal \(D^{\perp}\) is strict.
- University College Dublin Ireland
isotrope, Topology of vector bundles and fiber bundles, Spin structure, General geometric structures on manifolds (almost complex, almost product structures, etc.), real vector bundle, Spin and Spin\({}^c\) geometry, Specialized structures on manifolds (spin manifolds, framed manifolds, etc.)
isotrope, Topology of vector bundles and fiber bundles, Spin structure, General geometric structures on manifolds (almost complex, almost product structures, etc.), real vector bundle, Spin and Spin\({}^c\) geometry, Specialized structures on manifolds (spin manifolds, framed manifolds, etc.)
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