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- URN zum Zitieren dieses Dokuments:
- urn:nbn:de:bvb:355-epub-331479
- DOI zum Zitieren dieses Dokuments:
- 10.5283/epub.33147
Alternative Links zum Volltext:Arxiv
Zusammenfassung
Let (Mm,g) be a closed Riemannian manifold (m≥2) of positive scalar curvature and (Nn,h) any closed manifold. We study the asymptotic behaviour of the second Yamabe constant and the second N−Yamabe constant of (M×N,g+th) as t goes to +∞. We obtain that $\lim_{t \to +\infty}Y^2(M\times N,[g+th])=2^{\frac{2}{m+n}}Y(M\times \re^n, [g+g_e]).$ If n≥2, we show the existence of nodal solutions of the ...
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