activity
19982005
most citedConstant mean curvature hypersurfaces condensing along a submanifold

8 citations · 8 across the 9 of their papers we have counts for

collaborators
Showing math.DGShow all

15 papers · 1 filter

math.DG2005

Blowing up Kähler manifolds with constant scalar curvature II

Claudio Arezzo, Frank Pacard

In this paper we continue our study about the existence of Kaehler metrics of constant scalar curvature (Kcsc) on blow ups at points of compact manifolds with Kcsc metrics started…

math.DG2004

Blowing up and desingularizing constant scalar curvature Kähler manifolds

Claudio Arezzo, Frank Pacard

This paper is concerned with the existence of constant scalar curvature Kaehler metrics on blow ups at finitely many points of compact manifolds which already carry constant scalar…

math.DG20048 cited

Constant mean curvature hypersurfaces condensing along a submanifold

Fethi Mahmoudi, Rafe Mazzeo, Frank Pacard

Given any nondegenerate k-dimensional minimal submanifold K of codimension greater than 1, we prove the existence of families of constant mean curvature submanifolds, with mean cur…

math.DG2003

An end-to-end construction for compact constant mean curvature surfaces

M. Jleli, F. Pacard

We explain how the current knowledge on the set of complete noncompact constant mean curvature surfaces can be exploited to produce new examples of compact constant mean curvature…

math.DG2003

Foliations by constant mean curvature tubes

Rafe Mazzeo, Frank Pacard

Let be a nondegenerate geodesic in a compact Riemannian manifold . We prove the existence of a partial foliation of a neighbourhood of by CMC surfaces which are small pe…

math.DG2003

From constant mean curvature hypersurfaces to the gradient theory of phase transitions

Frank Pacard, Manuel Ritoré

We construct solutions of the Cahn-Hilliard equation whose nodal set converges to a given constant mean curvature hypersurface in a Riemannian manifold.