75 citations · 90 across the 6 of their papers we have counts for
7 papers
The Ricci-Bourguignon Flow
Giovanni Catino, Laura Cremaschi, Zindine Djadli +2
In this paper we present some results on a family of geometric flows introduced by Bourguignon that generalize the Ricci flow. For suitable values of the scalar parameter involved…
On Perelman's Dilaton
Marco Caldarelli, Giovanni Catino, Zindine Djadli +2
By means of a Kaluza-Klein type argument we show that the Perelman's F-functional is the Einstein-Hilbert action in a space with extra ``phantom'' dimensions. In this way, we try t…
Integral pinched 3-manifolds are space forms
Giovanni Catino, Zindine Djadli
In this paper we prove that, under an explicit integral pinching assumption between the -norm of the Ricci curvature and the -norm of the scalar curvature, a closed 3-man…
Existence of conformal metrics with constant -curvature
Zindine Djadli, Andrea Malchiodi
Given a compact four dimensional manifold, we prove existence of conformal metrics with constant -curvature under generic assumptions. The problem amounts to solving a fourth-or…
Prescribing scalar and boundary mean curvature on the three dimensional sphere
Zindine Djadli, Andrea Malchiodi, Mohameden Ould Ahmedou
We consider the problem of prescribing the scalar curvature and the boundary mean curvature of the standard half three sphere, by deforming conformally its standard metric. Using b…
Prescribing a fourth order conformal invariant on the standard sphere, Part II: blow-up analysis and applications
Zindine Djadli, Andrea Malchiodi, Mohameden Ould Ahmedou
In this paper we perform a fine blow-up analysis for a fourth order elliptic equation involving critical Sobolev exponent, related to the prescription of some conformal invariant o…