Results 11 to 20 of about 226 (24)
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
Multilocal invariants for the classical groups
Multilocal higher‐order invariants, which are higher‐order invariants defined at distinct points of representation space, for the classical groups are derived in a systematic way. The basic invariants for the classical groups are the well‐known polynomial or rational invariants as derived from the Capelli identities.
Paul F. Dhooghe
wiley +1 more source
On singular projective deformations of two second class totally focal pseudocongruences of planes
Let be a projective deformation of the second order of two totally focal pseudocongruences L and of (m − 1)‐planes in projective spaces Pn and , 2m − 1 ≤ n < 3m − 1, and let K be a collineation realizing such a C. The deformation C is said to be weakly singular, singular, or α‐strongly singular, α = 3, 4, …, if the collineation K gives projective ...
Ludmila Goldberg
wiley +1 more source
Chains in CR geometry as geodesics of a Kropina metric [PDF]
With the help of a generalization of the Fermat principle in general relativity, we show that chains in CR geometry are geodesics of a certain Kropina metric constructed from the CR structure.
Cheng, Jih-Hsin +3 more
core +2 more sources
Scalar Curvature and Projective Compactness
Consider a manifold with boundary, and such that the interior is equipped with a pseudo-Riemannian metric. We prove that, under mild asymptotic non-vanishing conditions on the scalar curvature, if the Levi-Civita connection of the interior does not ...
Cap, Andreas, Gover, A. Rod
core +1 more source
Volume Growth, Number of Ends and the Topology of a Complete Submanifold
Given a complete isometric immersion $\phi: P^m \longrightarrow N^n$ in an ambient Riemannian manifold $N^n$ with a pole and with radial sectional curvatures bounded from above by the corresponding radial sectional curvatures of a radially symmetric ...
Gimeno, Vicent, Palmer, Vicente
core +1 more source
Harmonic fields on the extended projective disc and a problem in optics
The Hodge equations for 1-forms are studied on Beltrami's projective disc model for hyperbolic space. Ideal points lying beyond projective infinity arise naturally in both the geometric and analytic arguments.
Bateman H. +17 more
core +1 more source
Harmonic maps in unfashionable geometries
We describe some general constructions on a real smooth projective 4-quadric which provide analogues of the Willmore functional and conformal Gauss map in both Lie sphere and projective differential geometry.
Burstall, F. E., Hertrich-Jeromin, U.
core +1 more source
On the integrability of symplectic Monge-Amp\'ere equations
Let u be a function of n independent variables x^1, ..., x^n, and U=(u_{ij}) the Hessian matrix of u. The symplectic Monge-Ampere equation is defined as a linear relation among all possible minors of U.
Atiyah +33 more
core +1 more source
Asymptotic volume in Hilbert Geometries
We prove that the metric balls of a Hilbert geometry admit a volume growth at least polynomial of degree their dimension. We also characterise the convex polytopes as those having exactly polynomial volume growth of degree their ...
Vernicos, Constantin
core

