Results 81 to 90 of about 438,929 (192)

On the notion of noncommutative submanifold [PDF]

, 2020
We review the notion of submanifold algebra, as introduced by T. Masson, and discuss some properties and examples. A submanifold algebra of an associative algebra A is a quotient algebra B such that all derivations of B can be lifted to A.
D'Andrea, Francesco, D'andrea F.
core   +2 more sources

Zero‐curvature subconformal structures and dispersionless integrability in dimension five

Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.
Abstract We extend the recent paradigm “Integrability via Geometry” from dimensions 3 and 4 to higher dimensions, relating dispersionless integrability of partial differential equations to curvature constraints of the background geometry. We observe that in higher dimensions on any solution manifold, the symbol defines a vector distribution equipped ...
Boris Kruglikov, Omid Makhmali
wiley   +1 more source

A generalized model of cardiac surface motion for evaluating left anterior descending coronary artery dose in left breast cancer radiotherapy

Medical Physics, Volume 51, Issue 10, Page 7545-7560, October 2024.
Abstract Background Retrospective studies indicate that radiation damage to left anterior descending coronary artery (LAD) may be critical for late‐stage radiation‐induced cardiac morbidity. Developing a method that accurately depicts LAD motion and perform dose assessment is crucial.
Yongjin Deng, Minmin Qiu, Yangchan Li, Chaoyang Wang, Jiajian Zhong, Zhenhua Xiao, Chengtao Wang, Ruiwan Chen   +7 more
wiley   +1 more source

Pseudo-Sasakian manifolds endowed with a contact conformal connection

International Journal of Mathematics and Mathematical Sciences, 1986
Pseudo-Sasakian manifolds M˜(U,ξ,η˜,g˜) endowed with a contact conformal connection are defined.
Vladislav V. Goldberg, Radu Rosca
doaj   +1 more source

Every finite graph arises as the singular set of a compact 3‐D calibrated area minimizing surface

Communications on Pure and Applied Mathematics, Volume 77, Issue 9, Page 3670-3707, September 2024.
Abstract Given any (not necessarily connected) combinatorial finite graph and any compact smooth 6‐manifold M6$M^6$ with the third Betti number b3≠0$b_3\not=0$, we construct a calibrated 3‐dimensional homologically area minimizing surface on M$M$ equipped in a smooth metric g$g$, so that the singular set of the surface is precisely an embedding of this
Zhenhua Liu
wiley   +1 more source

Contact CR Submanifolds of maximal Contact CR dimension of Sasakian Space Form

پژوهش‌های ریاضی, 2020
In this paper, we investigate contact CR submanifolds of contact CR dimension in Sasakian space form and introduce the general structure of these submanifolds and then studying structures of this submanifols with the condition  h(FX,Y)+h(X,FY)=g(FX,Y ...
Mohammad Ilmakchi, Esmaiel Abedi
doaj  

Valuations, completions, and hyperbolic actions of metabelian groups

Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.
Abstract Actions on hyperbolic metric spaces are an important tool for studying groups, and so it is natural, but difficult, to attempt to classify all such actions of a fixed group. In this paper, we build strong connections between hyperbolic geometry and commutative algebra in order to classify the cobounded hyperbolic actions of numerous metabelian
Carolyn R. Abbott, Sahana Balasubramanya, Alexander J. Rasmussen   +2 more
wiley   +1 more source

Geometric Inequalities for Skew CR-Warped Product Submanifolds in Locally Conformal Almost Cosymplectic Manifolds

Mathematics
In this paper, we investigate contact skew CR-warped product submanifolds of locally conformal almost cosymplectic manifolds, a framework that simultaneously generalizes warped product pseudo-slant, semi-slant, and contact CR-submanifolds.
Ali H. Alkhaldi, Fatemah Mofarreh, Huda M. Alshanbari, Akram Ali   +3 more
doaj   +1 more source

Stabilization distance bounds from link Floer homology

Journal of Topology, Volume 17, Issue 2, June 2024.
Abstract We consider the set of connected surfaces in the 4‐ball with boundary a fixed knot in the 3‐sphere. We define the stabilization distance between two surfaces as the minimal g$g$ such that we can get from one to the other using stabilizations and destabilizations through surfaces of genus at most g$g$.
András Juhász, Ian Zemke
wiley   +1 more source

Prolongement de courants positifsà travers une sous-variété CR [PDF]

, 1999
In this paper, we prove an extension theorem through a Cauchy–Riemann submanifold of Cn, for positive currents. In the particular case of a real analytic Levi-flat submanifold, we complete this study by generalizing J.R. King and N.
Giret, Stéphane, Stéphane Giret
core   +1 more source