Results 11 to 20 of about 2,097,491 (204)
Physics and Geometry from a Lagrangian: Dirac Spinors on a Generalised Frame Bundle [PDF]
Journal of Geometry and Physics, 2023 We clarify the structure obtained in H\'elein and Vey's proposition for a variational principle for the Einstein-Cartan gravitation formulated on a frame bundle starting from a structure-less differentiable 10-manifold.
J'er'emie Pierard de Maujouy
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Delaunay surfaces expressed in terms of a Cartan moving frame
Journal of Applied Analysis, 2020 Delaunay surfaces are investigated by using a moving frame approach. These surfaces correspond to surfaces of revolution in the Euclidean three-space. A set of basic one-forms is defined. Moving frame equations can be formulated and studied.
P. Bracken
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Locally-homogeneous Riemann-Cartan geometries with the largest symmetry group [PDF]
Journal of Mathematics and PhysicsThe symmetry frame formalism is an effective tool for computing the symmetries of a Riemann-Cartan geometry and, in particular, in metric teleparallel geometries.
D. McNutt +2 more
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A local generalisation of frame bundles [PDF]
Journal of Geometry and PhysicsFrame bundles equipped with a principal connection have their local structure characterised by a 1-form, called the Cartan connection 1-form, which gathers the principal connection form and the soldering form.
J'er'emie Pierard de Maujouy
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On the fundamental forms of the B-scroll with null directrix and Cartan frame in Minkowskian 3-space
Applied Mathematical Sciences, 2015 In this work we will study on Minkowskian 3−space, with null directrix and Cartan frame.In this paper, we investigate the first fundamental form, the second fundamental form of B-scroll with Cartan framed null directrix in the Minkowskian 3-space.
Ş. Kılıçoglu +2 more
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Denoising Moving Heart Wall Fibers Using Cartan Frames
, 2017 Current denoising methods for diffusion weighted images can obtain high quality estimates of local fiber orientation in static structures. However, recovering reliable fiber orientation from in vivo data is considerably more difficult. To address this problem we use a geometric approach, with a spatio-temporal Cartan frame field to model spatial ...
Babak Samari +4 more
core +5 more sources
Null Cartan Curve Variations in 3D semi-Riemannian Manifold
, 2020 The aim of this work is to investigate the variations of the Bishop frame curvatures for null Cartan curves in semi Riemannian manifolds. In particular, we derive the Killing equations in terms of the variations of the Bishop curvatures along the null ...
Zehra Özdemir
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Cartan Frames for Heart Wall Fiber Motion
, 2017 Current understanding of heart wall fiber geometry is based on ex vivo static data obtained through diffusion imaging or histology. Thus, little is known about the manner in which fibers rotate as the heart beats. Yet, the geometric organization of moving fibers in the heart wall is key to its mechanical function and to the distribution of forces in it
Babak Samari +4 more
core +7 more sources
Cartan Frame Analysis of Hearts with Infarcts
STACOM@MICCAI, 2016 Muscle fibers in healthy hearts follow a regular geometry, with streamlines that lie along close to parallel helical curves. This regularity is disrupted in the presence of myocardial infarction which results in a loss of contractile function due to the necrosis of myocytes and the build up of collagen.
D. Goblot, M. Pop, Kaleem Siddiqi
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AIMS Mathematics: In the present work, we focused on studying the evolution of null Cartan and pseudo null curves using the Bishop frame in Minkowski space R 2 , 1 . We obtained the necessary and su ffi cient conditions for the null Cartan and pseudo null curves to be ...
Samah Gaber, Abeer Al Elaiw
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