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Second Yamabe Constant on Riemannian Products
Henry, Guillermo (2015) Second Yamabe Constant on Riemannian Products. Preprintreihe der Fakultät Mathematik 08/2015, Working Paper.Date of publication of this fulltext: 12 Jan 2016 12:50
Monograph
DOI to cite this document: 10.5283/epub.33147
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 ...
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 If n≥2, we show the existence of nodal solutions of the Yamabe equation on (M×N,g+th) (provided t large enough). When the scalar curvature of (M,g) is constant, we prove that
. Also we study the second Yamabe invariant and the second N−Yamabe invariant.
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Details
| Item type | Monograph (Working Paper) | ||||
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik | ||||
|---|---|---|---|---|---|
| Volume: | 08/2015 | ||||
| Date | 2015 | ||||
| Institutions | Mathematics > Prof. Dr. Guido Kings | ||||
| Identification Number |
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| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||
| Status | Unknown | ||||
| Refereed | No, this version has not been refereed yet (as with preprints) | ||||
| Created at the University of Regensburg | Yes | ||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-331479 | ||||
| Item ID | 33147 |
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