Given a closed manifold of dimension at least three, with non trivial homotopy group \pi_3(M) and a generic metric, we prove that there is a finite collection of harmonic spheres with Morse index bound one, with sum of their energies realizes a geometric invariant width.Open Acces
We prove qualitative estimates on the total curvature of closed minimal hypersurfaces in closed Riem...
Consider the following question: Does there exist a three-manifold M for which, given any riemannian...
Using an estimate on the number of critical points for a Morse-even function on the sphere S^m, m ≥ ...
By extending and generalizing previous work by Ros and Savo, we describe a method to show that in ce...
When the compact manifold $M$ has a Riemannian metric satisfying a suitable curvature condition, we ...
We show that in a closed 3-manifold with a generic metric of positive Ricci curvature, there are min...
For any smooth Riemannian metric on an (n + 1)-dimensional compact manifold with boundary (M, ∂ M) ...
AbstractFor any 3-manifold M3 and any nonnegative integer g, we give here examples of metrics on M e...
We show that the Morse index of a properly embedded free boundary minimal hypersurface in a strictly...
We show that the difference between the Morse index of a closed minimal surface as a critical point ...
We present some geometric applications, of global character, of the bubbling analysis developed by B...
We construct a smooth Riemannian metric on any 3-manifold with the property that there are ...
We develop a general method to compute the Morse index of branched Willmore spheres and show that th...
In this paper, we establish a min-max theory for constructing minimal disks with free boundary in an...
Generalizing earlier work by Ros in ambient dimension three, we prove an affine lower bound for the ...
We prove qualitative estimates on the total curvature of closed minimal hypersurfaces in closed Riem...
Consider the following question: Does there exist a three-manifold M for which, given any riemannian...
Using an estimate on the number of critical points for a Morse-even function on the sphere S^m, m ≥ ...
By extending and generalizing previous work by Ros and Savo, we describe a method to show that in ce...
When the compact manifold $M$ has a Riemannian metric satisfying a suitable curvature condition, we ...
We show that in a closed 3-manifold with a generic metric of positive Ricci curvature, there are min...
For any smooth Riemannian metric on an (n + 1)-dimensional compact manifold with boundary (M, ∂ M) ...
AbstractFor any 3-manifold M3 and any nonnegative integer g, we give here examples of metrics on M e...
We show that the Morse index of a properly embedded free boundary minimal hypersurface in a strictly...
We show that the difference between the Morse index of a closed minimal surface as a critical point ...
We present some geometric applications, of global character, of the bubbling analysis developed by B...
We construct a smooth Riemannian metric on any 3-manifold with the property that there are ...
We develop a general method to compute the Morse index of branched Willmore spheres and show that th...
In this paper, we establish a min-max theory for constructing minimal disks with free boundary in an...
Generalizing earlier work by Ros in ambient dimension three, we prove an affine lower bound for the ...
We prove qualitative estimates on the total curvature of closed minimal hypersurfaces in closed Riem...
Consider the following question: Does there exist a three-manifold M for which, given any riemannian...
Using an estimate on the number of critical points for a Morse-even function on the sphere S^m, m ≥ ...
DOI
Add to ORKG