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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 limt→+∞Y2(M×N,[g+th])=22m+nY(M×Rn,[g+ge]). If n≥2, we show the existence of nodal solutions of the Yamabe equation on (M×N,g+th) (provided t large enough). When sg is constant, we prove that limt→+∞YN 2(M×N,g+th)=22m+nYRn(M×Rn,g+ge). Also we study the second Yamabe invariant and the second N-Yamabe invariant. © 2016 Elsevier B.V.


Documento: Artículo
Título:Second Yamabe constant on Riemannian products
Autor:Henry, G.
Filiación:Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I., Buenos Aires, C1428EHA, Argentina
Palabras clave:Nodal solutions; Second Yamabe constant; Yamabe equation
Página de inicio:260
Página de fin:275
Título revista:Journal of Geometry and Physics
Título revista abreviado:J. Geom. Phys.


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---------- APA ----------
(2017) . Second Yamabe constant on Riemannian products. Journal of Geometry and Physics, 114, 260-275.
---------- CHICAGO ----------
Henry, G. "Second Yamabe constant on Riemannian products" . Journal of Geometry and Physics 114 (2017) : 260-275.
---------- MLA ----------
Henry, G. "Second Yamabe constant on Riemannian products" . Journal of Geometry and Physics, vol. 114, 2017, pp. 260-275.
---------- VANCOUVER ----------
Henry, G. Second Yamabe constant on Riemannian products. J. Geom. Phys. 2017;114:260-275.