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- W2095311146 abstract "(1) F(x, y) = E xyi E x;y' i-i ~ i-+ r ~ H1 where x= E-, x'ei and y E-, yie,. The number p -q is called the index of F, to be denoted by 'r(F). It depends only on F. If F is nonsingular (i.e. p +q = r), then min (p, q) equals the maximal dimension of the linear subspaces of V contained in the 'cone F(x, x) = 0. Now let M be a compact oriented manifold. The index of M is defined to be zero, if the dimension of M is not a multiple of 4. If M has the dimension 4k, consider the cohomology group H2k(M) with real coefficients. This is a real vector space, and the equation" @default.
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- W2095311146 date "1957-01-01" @default.
- W2095311146 modified "2023-09-30" @default.
- W2095311146 title "On the index of a fibered manifold" @default.
- W2095311146 doi "https://doi.org/10.1090/s0002-9939-1957-0087943-0" @default.
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