| PDF (259kB) |
- URN to cite this document:
- urn:nbn:de:bvb:355-epub-331479
- DOI to cite this document:
- 10.5283/epub.33147
Alternative links to fulltext:Arxiv
Abstract
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 ...
Owner only: item control page
Download Statistics