ON YAMABE CONSTANTS OF RIEMANNIAN PRODUCTS 3 by using an argument in the proof of the celebrated Kobayashi ’ s inequality

For a closed Riemannian manifold (M, g) of constant positive scalar curvature and any other closed Riemannian manifold (N, h), we show that the limit of the Yamabe constants of the Riemannian products (M × N, g + rh) as r goes to infinity is equal to the Yamabe constant of (M × R, [g + g E ]) and is strictly less than the Yamabe invariant of S provided n… CONTINUE READING

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