Add to ORKGGiven an $n$-dimensional Riemannian sphere conformal to the round one and $\delta$-pinched, we show that it does not contain any closed stable minimal submanifold of dimension $2\le k\le n-\delta^{-1}$.Comment: 12 page
The stability and the index of compact minimal submanifolds of the Berger spheres S2n+1τ,0<τ≤1, are ...
Let $(M,\bar g)$ be a compact Riemannian manifold with minimal boundary such that the second fundame...
We prove that a closed embedded minimal surface in the round three-sphere which satisfies the symmet...
Given an n-dimensional Riemannian sphere conformal to the round one and δ-pinched, we show that it ...
Given an n-dimensional Riemannian sphere conformal to the round one and δ-pinched, we show that it d...
We prove a sharp area estimate for minimal submanifolds that pass through a prescribed point in a ge...
It is proved by Brendle in [4] that the equatorial disk $D^k$ has least area among $k$-dimensional f...
We prove that the four-dimensional round sphere contains a minimally embedded hypertorus, as well as...
In this paper we study n-dimensional compact minimal submanifolds in Sn+p with scalar curvature S sa...
We discuss solutions of several questions concerning the geometry of conformal planes.Comment: Bibli...
We consider the problem of minimal volume vector fields on a given Riemann surface, specialising on ...
When the compact manifold $M$ has a Riemannian metric satisfying a suitable curvature condition, we ...
We use global bifurcation techniques to establish the existence of arbitrarily many geometrically di...
In this paper we establish conditions on the length of the traceless part of the second fundamental ...
Smooth minimal surfaces of general type with $K^2=1$, $p_g=2$, and $q=0$ constitute a fundamental ex...
The stability and the index of compact minimal submanifolds of the Berger spheres S2n+1τ,0<τ≤1, are ...
Let $(M,\bar g)$ be a compact Riemannian manifold with minimal boundary such that the second fundame...
We prove that a closed embedded minimal surface in the round three-sphere which satisfies the symmet...
Given an n-dimensional Riemannian sphere conformal to the round one and δ-pinched, we show that it ...
Given an n-dimensional Riemannian sphere conformal to the round one and δ-pinched, we show that it d...
We prove a sharp area estimate for minimal submanifolds that pass through a prescribed point in a ge...
It is proved by Brendle in [4] that the equatorial disk $D^k$ has least area among $k$-dimensional f...
We prove that the four-dimensional round sphere contains a minimally embedded hypertorus, as well as...
In this paper we study n-dimensional compact minimal submanifolds in Sn+p with scalar curvature S sa...
We discuss solutions of several questions concerning the geometry of conformal planes.Comment: Bibli...
We consider the problem of minimal volume vector fields on a given Riemann surface, specialising on ...
When the compact manifold $M$ has a Riemannian metric satisfying a suitable curvature condition, we ...
We use global bifurcation techniques to establish the existence of arbitrarily many geometrically di...
In this paper we establish conditions on the length of the traceless part of the second fundamental ...
Smooth minimal surfaces of general type with $K^2=1$, $p_g=2$, and $q=0$ constitute a fundamental ex...
The stability and the index of compact minimal submanifolds of the Berger spheres S2n+1τ,0<τ≤1, are ...
Let $(M,\bar g)$ be a compact Riemannian manifold with minimal boundary such that the second fundame...
We prove that a closed embedded minimal surface in the round three-sphere which satisfies the symmet...