If the mean curvature function of a codimension-one foliation is close enough to 0, then there is a Riemannian metric so that each leaf is a minimal hypersurface. Isoparametric constants appear as upper bounds for such mean curvature function
We prove that if (X, d, m) is a metric measure space with m(X) = 1 having (in a synthetic sense) Ric...
ABSTRACT: LetM be a compact oriented minimal hypersurface of the unit n-dimensional sphere Sn. In th...
ABSTRACT. In this paper we provide an extension to the Jellett-Minkowski’s formula for immersed subm...
We discover following analytic / geometric properties on Riemannian foliations with bundle-like metr...
We show that a codimension-one minimal foliation with growth at most 2 of a complete Riemannian mani...
Given a codimension-one foliation of a not necessarily closed manifold M. We show a relation betwee...
Our main result gives an improved bound on the filling areas of curves in Banach spaces which are no...
Abstract. We present the minimum norm or Dirichlet principle for measured foliations on a Riemann su...
We study two related inequalities that arise in Harmonic Analysis: restriction type inequalities an...
We prove a comparison theorem for the isoperimetric profiles of solutions of the normalized Ricci fl...
We prove a comparison theorem for the isoperimetric profiles of simple closed curves evolving by the...
18 pagesInternational audienceFor a riemannian foliation $\mathcal{F}$ on a closed manifold $M$, it ...
A bounded domain ω in a Riemannian manifold M is said to have the Pompeiu property if the only conti...
Abstract. We prove that the isoperimetric inequalities in the euclidean and hyperbolic plane hold fo...
We prove that every closed, smooth n-manifold X admits a Riemannian metric together with a smooth, t...
We prove that if (X, d, m) is a metric measure space with m(X) = 1 having (in a synthetic sense) Ric...
ABSTRACT: LetM be a compact oriented minimal hypersurface of the unit n-dimensional sphere Sn. In th...
ABSTRACT. In this paper we provide an extension to the Jellett-Minkowski’s formula for immersed subm...
We discover following analytic / geometric properties on Riemannian foliations with bundle-like metr...
We show that a codimension-one minimal foliation with growth at most 2 of a complete Riemannian mani...
Given a codimension-one foliation of a not necessarily closed manifold M. We show a relation betwee...
Our main result gives an improved bound on the filling areas of curves in Banach spaces which are no...
Abstract. We present the minimum norm or Dirichlet principle for measured foliations on a Riemann su...
We study two related inequalities that arise in Harmonic Analysis: restriction type inequalities an...
We prove a comparison theorem for the isoperimetric profiles of solutions of the normalized Ricci fl...
We prove a comparison theorem for the isoperimetric profiles of simple closed curves evolving by the...
18 pagesInternational audienceFor a riemannian foliation $\mathcal{F}$ on a closed manifold $M$, it ...
A bounded domain ω in a Riemannian manifold M is said to have the Pompeiu property if the only conti...
Abstract. We prove that the isoperimetric inequalities in the euclidean and hyperbolic plane hold fo...
We prove that every closed, smooth n-manifold X admits a Riemannian metric together with a smooth, t...
We prove that if (X, d, m) is a metric measure space with m(X) = 1 having (in a synthetic sense) Ric...
ABSTRACT: LetM be a compact oriented minimal hypersurface of the unit n-dimensional sphere Sn. In th...
ABSTRACT. In this paper we provide an extension to the Jellett-Minkowski’s formula for immersed subm...
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