On Fibrations with the Grassmann Manifold of Two-planes as Fiber
نویسنده
چکیده
Let p : E → B be a Serre fibration with E compact, B a connected finite CW -complex, and fiber either the real Grassmann manifold O(n)/O(2) × O(n − 2) or the complex Grassmann manifold U(n)/U(2) × U(n− 2), where n ≥ 4. We prove that if n is odd, then the fiber is totally non-homologous to zero in E with respect to Z2.
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تاریخ انتشار 2005