3 citations · 8 across the 15 of their papers we have counts for
13 papers · 1 filter
Variational properties of -curvature for closed submanifolds of arbitrary codimension in Riemannian manifolds
Mohammed Benalili
The objet of this paper is the study of variations of a functional whose integrant is the -curvature of closed submanifolds of arbitrary codimension in Riemannian manifolds.
Some integral formulae on weighted manifolds
Mohammed Abdelmalek, Mohammed Benalili
Introducing a notion of the weighted mean sigma-r curvature and using the weighted Newton transformations we derive in this paper some integral formulae on weighted manifolds. Thes…
Some variational properties of the weighted σ_{r}-curvature for submanifolds in Riemannian manifolds
Mohammed Benalili
The objet of this paper is the study of the variations of a functional whose integrant is the r-th weighted curvature on the hypersurface of a closed Riemannian manifold. Some appl…
Geometric Configuration of Riemannian Submanifolds of arbitrary Codimension
Mohamed Abdelmalek, Mohammed Benalili, Kamil Niedziałomski
In this paper we study a geometric configuration of submanifolds of arbitrary codimension in an ambient Riemannian space. We obtain relations between the geometry of a q-codimensio…
Singular elliptic equation involving the GJMS operator on compact Riemannian manifold
Mohammed Benalili, Ali Zouaoui
In this paper we consider a singular elliptic equation involving the GJMS (Graham-Jenne-Mason-Sparling) operator of order k on n-dimensional compact Riemannian manifold with 2k<n.…
The second Yamabe invariant with singularities
Mohammed Benalili, Hichem Boughazi
Let (M,g) be a compact manifold of dimension n greater or equals to 3. We suppose that g is a given metric in a precised Sobolev space and there is a point P in M and d>o such that…