We prove that a minimizer of the Yamabe functional does not exist for a sphere S n of
dimension n≥ 3, endowed with a standard edge-cone spherical metric of cone angle …

We compare the isoperimetric profiles of S2× R3 and of S3× R2 with that of a round 5-
sphere (of appropriate radius). Then we use this comparison to obtain lower bounds for the …

We estimate explicit lower bounds for the isoperimetric profiles of the Riemannian product of
a compact manifold and the Euclidean space with the flat metric,(M m× R n, g+ g E), m, n> 1 …

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In this paper, we show that two conformal invariants $ Y_ {2, 1} $ and $\tilde Y_ {2, 1} $
defined in (1) and (2) resp. coincide and are achieved by a conformal metric …

We study the H n-Yamabe constants of Riemannian products (H^n*M^m,g_h^n+g), where
(M, g) is a compact Riemannian manifold of constant scalar curvature and g_h^n is the …

In the work of Ammann et al. it has turned out that the Yamabe invariant on closed manifolds
is a bordism invariant below a certain threshold constant. A similar result holds for a …

We show that the-equivariant Yamabe invariant of the-sphere, endowed with the Hopf
action, is equal to the (non-equivariant) Yamabe invariant of the-sphere. More generally, we …

We study the H^ n-Yamabe constants of Riemannian products (H^ n\times M^ m, g_h^ n+ g),
where (M, g) is a compact Riemannian manifold of constant scalar curvature and g_h^ n is …

Let $(M, g) $ be a compact Riemannian manifold of dimension $ n\geq 3$. For a metric $ g $
on $ M $, we let $\la_2 (g) $ be the second eigenvalue of the Yamabe operator $ L_g:=\frac …