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- W2908319662 abstract "We show that every ${C^infty }f:{G_2}(M) to {mathbf {R}},{M^n}$ a compact connected riemannian manifold $n geqslant 3$, is the scalar curvature function of some complete riemannian metric on ${G_2}(M)$, the grassmann bundle of $2$ planes over $M$, except possibly when $K = {text {constant }} geqslant 0$. A similar result holds for $O(M)$ bundle of orthonormal frames on $M$." @default.
- W2908319662 created "2019-01-11" @default.
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- W2908319662 date "1976-01-01" @default.
- W2908319662 modified "2023-09-26" @default.
- W2908319662 title "Scalar curvatures on $O(M),Gsb{2}(M)$" @default.
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- W2908319662 doi "https://doi.org/10.1090/s0002-9939-1976-0425832-1" @default.
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