11 citations · 57 across the 19 of their papers we have counts for
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Extensions of Schoen--Simon--Yau and Schoen--Simon theorems via iteration à la De Giorgi
Costante Bellettini
We give an alternative proof of the Schoen--Simon--Yau curvature estimates and associated Bernstein-type theorems (1975), and extend the original result by including the case of $6…
Embeddedness of liquid-vapour interfaces in stable equilibrium
Costante Bellettini
We consider a classical (capillary) model for a one-phase liquid in equilibrium. The liquid (e.g. water) is subject to a volume constraint, it does not mix with the surrounding vap…
Multiplicity-1 minmax minimal hypersurfaces in manifolds with positive Ricci curvature
Costante Bellettini
We address the one-parameter minmax construction, via Allen--Cahn energy, that has recently lead to a new proof of the existence of a closed minimal hypersurface in an arbitrary co…
Rate of decay for the mass ratio of pseudo-holomorphic integral 2-cycles
Costante Bellettini
We consider any pseudo holomorphic integral 2-cycle in an arbitrary almost complex manifold and perform a blow up analysis at an arbitrary point. Building upon a pseudo algebraic b…
Semi-calibrated 2-currents are pseudo holomorphic, with applications
Costante Bellettini
We show that any semi-calibration of degree 2 is locally induced by a smooth almost complex structure. We provide some applications of this result in the regularity theory for semi…
Compactness results for triholomorphic maps
Costante Bellettini, Gang Tian
We consider triholomorphic maps from an almost hyper-Hermitian manifold into a hyperKähler manifold . This means that satisfies…
Regularity of sets with constant horizontal normal in the Engel group
Costante Bellettini, Enrico Le Donne
In the Engel group with its Carnot group structure we study subsets of locally finite subRiemannian perimeter and possessing constant subRiemannian normal. We prove the rectifiabil…
Uniqueness of Tangent Cones to Positive-(p,p) Integral Cycles
Costante Bellettini
Let $(M, \om)$ be a symplectic manifold, endowed with a compatible almost complex structure J and the associated metric g . For any p \in {1, 2, ... (dim M)/2} the form $\Om := \fr…
Tangent cones to positive-(1,1) De Rham currents
Costante Bellettini
We consider positive-(1,1) De Rham currents in arbitrary almost complex manifolds and prove the uniqueness of the tangent cone at any point where the density does not have a jump w…
Almost complex structures and calibrated integral cycles in contact 5-manifolds
Costante Bellettini
In a contact manifold (M^5, alpha), we consider almost complex structures J which satisfy, for any vector v in the horizontal distribution, d alpha (v,Jv) = 0. We prove that integr…
The regularity of Special Legendrian Integral Cycles
Costante Bellettini, Tristan Riviere
Special Legendrian Integral Cycles in are the links of the tangent cones to Special Lagrangian integer multiplicity rectifiable currents in Calabi-Yau 3-folds. We show that s…