For example, try evaluating the Poisson bracket between the spin-parity 2+ irreducible component of the foliation-projected momentum of the translational gauge field, and the 1- irrep of the foliation-projected torsion tensor, without first defining a constraint shell for a particular theory, type...
In order to construct overcurved circles, four pieces of Salkowski curves are thus connected while respecting the D2d symmetry of the problem and ensuring the continuity of the torsion t(s). This can be done by generalizing a procedure recently proposed by Monterde29 based on previous work by ...
Analogously, this class also involves solutions containing pressure-free matter where the geodesic flow lines have two- or three-dimensional caustics and shell-crossing singularities [51]. These examples demonstrate that whenever Condition 1. holds the existence of incomplete timelike geodesics, within ...
The centre line can also be defined mathematically by its local curvature κ(s) and torsion τ(s)22. Our analysis will be restricted to untwisted rings having a centre line of constant curvature κ, and a locally variable torsion τ(s) that integrates to zero over the ring. Such rings ...
Thanks to this analysis, we construct explicit examples of Calabi-Yau with torsion Hermitian structures and prove a uniqueness result for them.doi:10.1007/s12220-023-01203-2giuseppebarbaroSpringer USThe Journal of Geometric Analysis
If c≠4r2 and r≠0, the space of extremals consists of two families of curves: 4.1 A real one-parameter class of Lancret helices (see Proposition 4.2). 4.2 The class of curves with horizontal binormal, which automatically has constant torsion τ=±r. This class can be parameterized by th...
connectionforwhichthealmostcomplexstructureandthemetricareparalleland the(1,1)-partofthetorsionvanishes.ItisusuallycalledtheChernconnection because,intheintegrablecase,itcoincideswiththeChernconnection[7]ofthe tangentbundleconsideredasaHermitianholomorphicbundle.Thisconnection ...
be the curvature operator defined by a torsion free connection ∇ on the tangent bundle of a smooth manifold M. Following Opzoda [21], we say that (M, ∇) is affine k-curvature homogeneous if given any two points P and Q of M, there is a linear isomorphism φ : T P M→...
Once the clamp 600 is in position within the abdominal cavity to enclose and partition the stomach or other organ, pressing down on latch release 660 can permit automatic extension of pull rod 664 by action of a torsion spring provided to trigger screw 666 to force de-actuation of trigger 65...
These characteristics of variable placement and cross-sectional geometry allow the device to have varied degrees of strength in different anatomic planes as desired, thereby inhibiting undesired torsion or other forces on the device. Each semi-rigid rod is deformable when taken individually, but in a...