Results 41 to 50 of about 779 (266)

Noninvariant Hypersurfaces of a Nearly Trans-Sasakian Manifolds

Journal of Mathematics, 2014
The present paper focuses on the study of noninvariant hypersurfaces of a nearly trans-Sasakian manifold equipped with (f,g,u,v,λ)-structure. Initially some properties of this structure have been discussed.
Satya Prakash Yadav, Shyam Kishor
doaj   +1 more source

Totally Geodesic Subalgebras of Nilpotent Lie Algebras

Journal of Lie Theory, 2013
A metric Lie algebra g is a Lie algebra equipped with an inner product. A subalgebra h of a metric Lie algebra g is said to be totally geodesic if the Lie subgroup corresponding to h is a totally geodesic submanifold relative to the left-invariant Riemannian metric defined by the inner product, on the simply connected Lie group associated to g.
Cairns, Grant, Hinić Galić, Ana, Nikolayevsky, Yuri   +2 more
openaire   +3 more sources

Optimal Control Drives Ultrafast and Energy‐Efficient Magnetization Switching in Van der Waals Magnets

Advanced Materials, EarlyView.
ABSTRACT The accelerating expansion of data‐centric technologies is sharply increasing the energy burden of information storage, placing unprecedented pressure on the efficiency of magnetic switching. Conventional field‐driven reversal, once the foundation of magnetic memory, has become impractical in modern architectures due to its high energy cost ...
Mohammad H. Badarneh, PeiYu Cai, Elton J. G. Santos   +2 more
wiley   +1 more source

On Minimal Hypersurfaces of a Unit Sphere

Mathematics, 2021
Minimal compact hypersurface in the unit sphere Sn+1 having squared length of shape operator A22), provided the scalar curvature τ is a constant on integral curves of w.
Amira Ishan, Sharief Deshmukh, Ibrahim Al-Dayel, Cihan Özgür   +3 more
doaj   +1 more source

scTIDE: Deciphering Critical Transitions Through Cell‐Perturbed Manifold Graphs and Optimal Transport Conditional Flow Matching

Advanced Science, EarlyView.
scTIDE identifies single‐cell tipping points by combining manifold‐based graph representations with optimal‐transport conditional flow matching, which preserves intrinsic topology and models distributional dynamics. It supports critical‐transition detection at individual‐cell resolution, prediction of unseen cells, and dimensionality reduction and ...
Jiayuan Zhong, Bowen Niu, Yongbo Yu, Shiyang Nie, Xuerong Gu, Pei Chen, Rui Liu   +6 more
wiley   +1 more source

On Geodesic Triangles in Non-Euclidean Geometry

Foundations
In this paper, we study centroids, orthocenters, circumcenters, and incenters of geodesic triangles in non-Euclidean geometry, and we discuss the existence of the Euler line in this context.
Antonella Nannicini, Donato Pertici
doaj   +1 more source

Experience‐Dependent Reorganization of Hippocampal CA3 Neuronal Ensembles Associates With Memory Generalization

Advanced Science, EarlyView.
Mice can transfer the learned rule of spatial working memory to guide similar but novel tasks. Hippocampal CA3 populational activity dynamically reorganize during memory generalization, shifting from task‐specific to generalized coding over testing days. Sparse yet redundant neural representations of CA3 enable rule transfer and cognitive map formation,
Da Song, Zilu Zhu, Yujun Deng, Yujie Song, Hui Li, Junjun Ni, Zhenzhen Quan, Yan Yan, Hong Qing   +8 more
wiley   +1 more source

Quantum‐Like Dynamics in Whole‐Brain Models of the Human Connectome

Advanced Science, EarlyView.
Quantum‐like dynamics in the human brain. The level of quantum‐like behavior in a non‐quantum system of coupled oscillators is regulated by the spectral gap of the coupling graph. Whole‐brain modelling using QL fits the empirical data significantly better and has a lower model‐derived energy cost than the non‐QL model.
Gustavo Deco, Yonatan Sanz Perl, Natasha Greenstein, Shamil Chandaria, Gregory Scholes, Morten L. Kringelbach   +5 more
wiley   +1 more source

Characterization of totally geodesic K\"{a}hler immersions

Hokkaido Mathematical Journal, 2002
In his paper [Nagoya Math. J. 60, 180-188 (1976; Zbl 0305.53046)], \textit{K. Nomizu} characterized totally geodesic complex projective spaces among Kähler submanifolds of a complex projective space using an extrinsic property of geodesics. The introduction of the paper presents a review of results on the characterization of submanifolds by the ...
SUIZU, Kaoru, MAEDA, Sadahiro, ADACHI, Toshiaki   +2 more
openaire   +2 more sources

Totally geodesic subvarieties in the moduli space of curves [PDF]

Communications in Contemporary Mathematics, 2020
In this paper, we study totally geodesic subvarieties [Formula: see text] of the moduli space of principally polarized abelian varieties with respect to the Siegel metric, for [Formula: see text]. We prove that if [Formula: see text] is generically contained in the Torelli locus, then [Formula: see text].
Alessandro Ghigi, Gian Pietro Pirola, Sara Torelli   +2 more
openaire   +5 more sources