Results 61 to 70 of about 2,097,491 (204)

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

The moving frame method in rigid body dynamics: Reflections on improving a discipline

International Journal of Mechanical Engineering Education
Several years ago, this author introduced a reconceptualization of rigid body dynamics (RBD) through the Moving Frame Method (MFM). Years of teaching RBD using MFM have exposed significant shortcomings in traditional pedagogy.
T. Impelluso
semanticscholar   +1 more source

A general approach to the linear stability of viscoelastic shear‐flows

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.
Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
wiley   +1 more source

3D Newton-Cartan supergravity [PDF]

, 2013
We construct a supersymmetric extension of three-dimensional Newton–Cartan gravity by gauging a super-Bargmann algebra. In order to obtain a non-trivial supersymmetric extension of the Bargmann algebra one needs at least two supersymmetries leading to a ...
Andringa, Roel, Bergshoeff, Eric A., Rosseel, Jan, Sezgin, Ergin   +3 more
core   +1 more source

Solving Local Equivalence Problems with the Equivariant Moving Frame Method

Symmetry, Integrability and Geometry: Methods and Applications, 2013
Given a Lie pseudo-group action, an equivariant moving frame exists in the neighborhood of a submanifold jet provided the action is free and regular. For local equivalence problems the freeness requirement cannot always be satisfied and in this paper we ...
Francis Valiquette
doaj   +1 more source

Logarithmic and Strong Coupling Models in Weyl‐Type f(Q,T)$f(Q,T)$ Gravity

Annalen der Physik, Volume 538, Issue 1, January 2026.
This work explores Weyl‐type f(Q,T) gravity using recent observational datasets — CC, Pantheon+, Union 3.0, and DESI DR2. Through MCMC analysis of logarithmic and strong coupling models, the study reveals a transition from deceleration to acceleration, quintessence‐to‐phantom dynamics, and late‐time consistency with LCDM, offering a geometry‐driven ...
Rahul Bhagat, S. K. Tripathy, B. Mishra
wiley   +1 more source

E. Cartan moment of rotation in classical and quantum gravity. Final report

, 1994
The geometric construction of the E. Cartan moment of rotation associated to the spacetime curvature provides a geometric interpretation of the gravitational field sources and describes geometrically how the sources are ``wired`` to the field in standard
Kheyfets, A.
core   +1 more source

A Geometrically Characterized Reference Frame For the Study of Cartan Hypersurfaces In N-Dimensional Projective Space [PDF]

, 1962
In the projective differential geometry of ordinary space a problem of fundamental importance is that of obtaining a covariantly determined reference frame for the definition of local point coordinates and associated power series developments for the ...
Maness, W. Dale
core   +1 more source

Parabolic and Linear Rotational Motions on Cones and Hyperboloids

Axioms
In this study, we consider the Lorentzian rotation about a lightlike axis. First, we introduce a geometric characterization for the rotation angle between two vectors that can overlap each other under a Lorentzian rotation about a lightlike axis.
Harun Barış Çolakoğlu, Mehmet Duru, Ayşe Yılmaz Ceylan   +2 more
doaj   +1 more source

NULL CARTAN CURVES IN STRICT WALKER THREE-MANIFOLDS

Journal of Universal Mathematics
In this paper, we study null Cartan curves in strict Walker three-manifolds on intervals where theirtangent is not proportional to the distinguished parallel null vector field.
Burçin Doğan
semanticscholar   +1 more source