Results 21 to 30 of about 1,852,222 (144)
Dual Associate Null Scrolls with Generalized 1-Type Gauss Maps
Mathematics, 2020 In this work, a pair of dual associate null scrolls are defined from the Cartan Frenet frame of a null curve in Minkowski 3-space. The fundamental geometric properties of the dual associate null scrolls are investigated and they are related in terms of ...
Jinhua Qian, Xueshan Fu, Seoung Dal Jung
doaj +1 more source
BETCHOV-DA RIOS EQUATION BY NULL CARTAN, PSEUDO NULL AND PARTIALLY NULL CURVE IN MINKOWSKI SPACETIME
, 2023 The aim of this paper is to investigate Betchov-Da Rios equation by using null Cartan, pseudo null and partially null curve in Minkowski spacetime. Time derivative formulas of frame of s parameter null Cartan, pseudo null and partially null curve are ...
Li, Yanlin, Yavuz, Ayse, Erdogdu, Melek
core +1 more source
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
Carrollian manifolds and null infinity: A view from Cartan geometry [PDF]
, 2022 We discuss three different (conformally) Carrollian geometries and their relation to null infinity from the unifying perspective of Cartan geometry. Null infinity \emph{per se} comes with numerous redundancies in its intrinsic geometry and the two other ...
Herfray, Yannick
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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 +3 more
openaire +3 more sources
Null Quaternionic Cartan Helices in ℝv3 [PDF]
, 2017 In this study, we define null quaternionic Bertrand curves in $\mathbb{R}_{v}^3$ for a null quaternionic curve, which has a single non-zero, constant Cartan curvature τ. We also prove that if a null quaternionic curve with non-zero curvatures in $\mathbb{
A.C. Çöken +3 more
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k-TYPE BI-NULL CARTAN SLANT HELICES IN R26
, 2022 In the present paper, we give the notion of k-type bi-null Cartan slant helices in R-2(6), where k is an element of{1, 2, 3, 4, 5, 6}. We give the necessary and sufficient conditions for bi-null Cartan curves to be k-type slant helices in terms of their ...
Ucum, Ali, Ilarslan, Kazim
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On generalized null Mannheim curves in E24
, 2021 In the present paper, we introduce the notion of Cartan-framed generalized null Mannheim curves in four-dimensional semi-Euclidean space with index 2, E24.
İlarslan, Kazım +3 more
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The universal family of punctured Riemann surfaces is Stein
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We show that the universal Teichmüller family V(g,n)$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
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 +4 more
wiley +1 more source