Results 41 to 50 of about 8,189 (63)

On the harmonicity of normal almost contact metric structures

, 2011
We consider normal almost contact structures on a Riemannian manifold and, through their associated sections of an ad-hoc twistor bundle, study their harmonicity, as sections or as maps.
Loubeau, E., Vergara-Diaz, E.
core  

Optimization of Soliton Structures Using Lifting Theory on Tangent Bundles of Statistical Kenmotsu Manifolds

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan, Lalnunenga Colney, Teg Alam, Pramita Mishra   +3 more
wiley   +1 more source

Multispectral Chiral Quasi‐Bound States in the Continuum Enabled Microfluidics for High‐Throughput Molecular Screening and Quantification

Advanced Science, Volume 12, Issue 47, December 18, 2025.
A microfluidics‐integrated chiral quasi‐BIC metachip is developed that generates strong broadband CD from 0.5–2.0 THz in aqueous environments. A UMAP algorithm processes the resulting multidimensional CD features for simultaneous biomolecular conformation identification and concentration quantification (0.05–0.3 mg dL−1).
Xinyue Liang, Zihan Zhao, Xiaocong Tang, Haiyue Yang, Lanju Liang, Meng Zhao, Cong Wang, Lei Wang, Xumin Ding   +8 more
wiley   +1 more source

Multiscale Cell–Cell Interactive Spatial Transcriptomics Analysis

Advanced Science, Volume 12, Issue 44, November 27, 2025.
In this study, we present the MultiScale Cell‐Cell Interactive Spatial Transcriptomics Analysis method, which unites the strengths of spatially resolved deep learning techniques with a topological representation of multi‐scale cell‐cell similarity relations.
Sean Cottrell, Guo‐Wei Wei
wiley   +1 more source

Slant Riemannian maps from almost Hermitian manifolds

, 2012
As a generalization of holomorphic submersions, anti-invariant submersions and slant submersions, we introduce slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds.
Sahin, Bayram
core  

$\eta$-Ricci solitons in $(\varepsilon)$-almost paracontact metric manifolds

, 2017
The object of this paper is to study $\eta$-Ricci solitons on $(\varepsilon)$-almost paracontact metric manifolds. We investigate $\eta$-Ricci solitons in the case when its potential vector field is exactly the characteristic vector field $\xi$ of the $(\
Acet, Bilal Eftal, Blaga, Adara Monica, Erdoğan, Feyza Esra, Perktaş, Selcen Yüksel   +3 more
core  

Curvature of a class of indefinite globally framed $f$-manifolds

, 2008
We present a compared analysis of some properties of indefinite almost $\mathcal{S}$-manifolds and indefinite $\mathcal{S}$-manifolds. We give some characterizations in terms of the Levi-Civita connection and of the characteristic vector fields. We study
Brunetti, Letizia, Pastore, Anna Maria
core   +2 more sources

A new construction of homogeneous quaternionic manifolds and related geometric structures

, 1999
Let V be the pseudo-Euclidean vector space of signature (p,q), p>2 and W a module over the even Clifford algebra Cl^0 (V). A homogeneous quaternionic manifold (M,Q) is constructed for any spin(V)-equivariant linear map \Pi : \wedge^2 W \to V. If the skew
Cortes, Vicente
core  

Pair of Associated <em>η</em>-Ricci–Bourguignon Almost Solitons with Vertical Torse-Forming Potential on Almost Contact Complex Riemannian Manifolds

Each of the studied manifolds has a pair of B-metrics, interrelated by an almost contact structure. The case where each of these metrics gives rise to an η-Ricci–Bourguignon almost soliton, where η is the contact form, is studied. In addition, the geometry-rich case where the soliton potential is torse-forming and is pointwise collinear on the Reeb ...
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Yamabe solitons and Yamabe almost solitons with vertical potential on some special types of almost contact complex Riemannian manifolds

2023
We summarize our results on Yamabe solitons and Yamabe al- most solitons considered on almost contact complex Riemannian manifolds, known also as almost contact B-metric manifolds. These manifolds are en- dowed with a pair of mutually associated pseudo-Riemannian metrics with respect to the almost contact structure.
openaire   +1 more source