Results 11 to 20 of about 1,037 (71)
Abstract Parenting interventions can improve parenting outcomes, with widespread implications for children's developmental trajectories. Relational savoring (RS) is a brief attachment‐based intervention with high potential for dissemination. Here we examine data from a recent intervention trial in order to isolate the mechanisms by which savoring ...
Jessica L. Borelli+5 more
wiley +1 more source
Isometry Lie algebras of indefinite homogeneous spaces of finite volume
Abstract Let g be a real finite‐dimensional Lie algebra equipped with a symmetric bilinear form ⟨·,·⟩. We assume that ⟨·,·⟩ is nil‐invariant. This means that every nilpotent operator in the smallest algebraic Lie subalgebra of endomorphisms containing the adjoint representation of g is an infinitesimal isometry for ⟨·,·⟩.
Oliver Baues+2 more
wiley +1 more source
In this paper, we discuss the monotonicity of the first nonzero eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow (MCF).
Qi Xuesen, Liu Ximin
doaj +1 more source
On Carleman and observability estimates for wave equations on time‐dependent domains
Abstract We establish new Carleman estimates for the wave equation, which we then apply to derive novel observability inequalities for a general class of linear wave equations. The main features of these inequalities are that (a) they apply to a fully general class of time‐dependent domains, with timelike moving boundaries, (b) they apply to linear ...
Arick Shao
wiley +1 more source
A Geometric Algorithm to construct new solitons in the O(3) Nonlinear Sigma Model [PDF]
The O(3) nonlinear sigma model with boundary, in dimension two, is considered. An algorithm to determine all its soliton solutions that preserve a rotational symmetry in the boundary is exhibited.
Albertsson+22 more
core +3 more sources
Screen conformal half‐lightlike submanifolds
We study some properties of a half‐lightlike submanifold M, of a semi‐Riemannian manifold, whose shape operator is conformal to the shape operator of its screen distribution. We show that any screen distribution S(TM) of M is integrable and the geometry of M has a close relation with the nondegenerate geometry of a leaf of S(TM).
K. L. Duggal, B. Sahin
wiley +1 more source
Trajectories under a vectorial potential on stationary manifolds
By using variational methods, we study the existence and multiplicity of trajectories under a vectorial potential on (standard) stationary Lorentzian manifolds possibly with boundary.
Rossella Bartolo
wiley +1 more source
Ricci-flat and Einstein pseudoriemannian nilmanifolds
This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group.
Conti Diego, Rossi Federico A.
doaj +1 more source
A geometric flow on null hypersurfaces of Lorentzian manifolds
We introduce a geometric flow on a screen integrable null hypersurface in terms of its local second fundamental form. We use it to give an alternative proof to the vorticity free Raychaudhuri’s equation for null hypersurface, as well as establishing ...
Massamba Fortuné, Ssekajja Samuel
doaj +1 more source
Biharmonic curves in Minkowski 3‐space
We give a differential geometric interpretation for the classification of biharmonic curves in semi‐Euclidean 3‐space due to Chen and Ishikawa (1991).
Jun-Ichi Inoguchi
wiley +1 more source