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This paper applies the authors’ forthcoming work, ”Affine deformations of a three-holed sphere” in Lorentzian geometry to prove a result in hyperbolic geometry. Namely, an infinitesimal de...
We establish in this paper an upper bound on the second eigenvalue of n-dimensional spheres in the conformal class of the round sphere. This upper bound holds in all dimensions and is asymptotically s...
Abstract: We construct Yang-Mills connections on SO(n)-bundles over spheres equipped with the Euclidean metric. We use a cohomogeneity one group action on the bundle to reduce the Yang-Mills-equation ...
Abstract: We study existence and non existence of constant scalar curvature metrics conformal and arbitrarily close to homogeneous metrics on spheres, using variational techniques. This describes all ...
We study the covariantly constant Savvidy-type chromomagnetic vacuum in finite-temperature Yang-Mills theory on the four-dimensional curved spacetime. Motivated by the fact that a positive spatial cu...
We consider in this paper a class of improper indefinite affine spheres with singularities in R3 called indefinite improper affine maps.We propose a representation of surfaces in this class by a pair ...
The coefficient of the logarithmic term in the entropy on even spheres is re–computed by the local technique of integrating the finite temperature energy density up to the horizon on static d–dimensio...
We study Lagrangian submanifolds foliated by $(n-1)$-spheres in $\R^{2n}$ for $n \geq 3$. We give a general parametrization for such submanifolds, and refine that description when the submanifold is s...
In this paper, we study the extension of isometries between the unit spheres of normed space $E$ and $C(\Omega)$. We obtain that any surjective isometry between the unit spheres of normed space $E$ an...

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