Results 11 to 20 of about 146 (125)

A study on null cartan curve in Minkowski 3-space [PDF]

Applied Mathematics and Nonlinear Sciences, 2020
Abstract Null cartan curves have been studied by some geometers in both Euclidean and Minkowski spaces, but some special characters of the curves are not considered. In this paper, we study weak AW ( k ) – type
Isah, Muhammad Abubakar, Külahcı, Mihriban Alyamaç   +1 more
openaire   +2 more sources

On Cartan null Bertrand curves in Minkowski 3-space

, 2021
Summary: In this paper, we consider Cartan null Bertrand curves in Minkowski 3-space. Since the principal normal vector of a null curve is a spacelike vector, the Bertrand mate curve of a null curve can be a timelike curve and a spacelike curve with spacelike principal normal. We give the necessary and suffient conditions for these cases to be Bertrand
Gökçek, Fatma, Erdem, Hatice Altın
openaire   +3 more sources

Algebraic theories of power operations

Journal of Topology, Volume 16, Issue 4, Page 1543-1640, December 2023., 2023
Abstract We develop and exposit some general algebra useful for working with certain algebraic structures that arise in stable homotopy theory, such as those encoding well‐behaved theories of power operations for E∞$\mathbb {E}_\infty$ ring spectra.
William Balderrama
wiley   +1 more source

On involutes of order k of a null Cartan curve in Minkowski spaces

Filomat, 2019
In this paper, we define an involute and an evolving involute of order k of a null Cartan curve in Minkowski space En1 for n ? 3 and 1 ? k ? n-1. In relation to that, we prove that if a null Cartan helix has a null Cartan involute of order 1 or 2, then it is Bertrand null Cartan curve and its involute is its Bertrand mate curve.
Muhammad Hanif, Hou Hua, Emilija Nesovic
openaire   +4 more sources

Null surfaces of null Cartan curves in Anti-de Sitter 3-space

The Journal of Nonlinear Sciences and Applications, 2017
Summary: In this paper, we consider the null surfaces of null Cartan curves in Anti-de Sitter 3-space and making use of singularity theory, we classify the singularities of the null surfaces and investigate the relationships between singularities of the null surfaces and differential geometric invariants of null Cartan curves in Anti-de Sitter 3-space.
Zhao, Guangyu, Pei, Donghe, Li, Yanlin, Wang, Zhigang   +3 more
openaire   +3 more sources

Null Cartan curve variations in 3D semi-Riemannian manifold

Hacettepe Journal of Mathematics and Statistics, 2021
The aim of this study is to investigate the variations of the Bishop frame curvatures for null Cartan curves in semi-Riemannian manifolds. The Killing equations in terms of the variations of the Bishop curvatures along the null Cartan curve is especially derived.
openaire   +5 more sources

The universal family of punctured Riemann surfaces is Stein

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We show that the universal Teichmüller family V(g,n)$V(g,n)$ of compact Riemann surfaces of genus g⩾0$g\geqslant 0$ with n>0$n>0$ punctures is a Stein manifold. We describe its basic function‐theoretic properties and pose some challenging questions. We show, in particular, that the space of fibrewise algebraic functions on the universal family
Franc Forstnerič
wiley   +1 more source

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

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