Results 31 to 40 of about 139 (109)

A new proof for some optimal inequalities involving generalized normalized δ-Casorati curvatures [PDF]

Journal of Inequalities and Applications, 2015
Let \(M\) be an \(n\)-dimensional Riemannian submanifold of a Riemannian manifold \((\bar{M},\bar{g})\). Then it is known that the Casorati curvature of \(M\) is an extrinsic invariant defined as the normalized square of the length of the second fundamental form \(h\) of the submanifold (of dimension \(n\)).
Lee, Chul Woo, Lee, Jae Won, Vîlcu, Gabriel-Eduard   +2 more
openaire   +3 more sources

Basic inequalities for statistical submanifolds in Golden-like statistical manifolds

Open Mathematics, 2022
In this paper, we introduce and study Golden-like statistical manifolds. We obtain some basic inequalities for curvature invariants of statistical submanifolds in Golden-like statistical manifolds.
Lone Mohamd Saleem, Bahadir Oğuzhan, Park Choonkil, Hwang Inho   +3 more
doaj   +1 more source

A pinching theorem for statistical manifolds with Casorati curvatures

The Journal of Nonlinear Sciences and Applications, 2017
Summary: With a pair of conjugate connections \(\overline{\nabla}\) and \(\overline{\nabla}^*\), we derive optimal Casorati inequalities with the normalized scalar curvature on submanifolds of a statistical manifold of constant curvature.
Lee, Chul Woo, Yoon, Dae Won, Lee, Jae Won   +2 more
openaire   +2 more sources

Remarks on inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms [PDF]

Journal of Inequalities and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Pan, Zhang, Liang
openaire   +2 more sources

Bounds of generalized normalized $$\delta $$δ-Casorati curvatures for real hypersurfaces in the complex quadric [PDF]

Arabian Journal of Mathematics, 2018
In this paper, the authors prove two optimal inequalities that relate the normalized scalar curvature with the generalized normalized Casorati curvatures for a real hypersurface in the complex quadric \(Q^m\). The proof is based on an optimization procedure involving a quadratic polynomial in the components of the second fundamental form.
Bansal, Pooja, Shahid, Mohammad Hasan
openaire   +2 more sources

Curvature Pinching Conditions in Quaternionic Manifolds Under Quarter-Symmetric Metric Connections

Axioms
This work presents a pair of sharp geometric inequalities that connect the normalized scalar curvature with the generalized normalized δ-Casorati curvature for θ-slant submanifolds immersed in quaternionic space forms endowed with a quarter-symmetric ...
Md Aquib, Ibrahim Al-Dayel
doaj   +1 more source

Statistical Solitons and Inequalities for Statistical Warped Product Submanifolds

Mathematics, 2019
Warped products play crucial roles in differential geometry, as well as in mathematical physics, especially in general relativity. In this article, first we define and study statistical solitons on Ricci-symmetric statistical warped products R ×
Aliya Naaz Siddiqui, Bang-Yen Chen, Oguzhan Bahadir   +2 more
doaj   +1 more source

Ultra‐High Frequency Ultrasound Imaging and Quantification of Microvascular Flow in Xenograft Renal Cell Carcinoma in an Avian Chorioallantoic Membrane Model

Journal of Ultrasound in Medicine, EarlyView.
Patient‐derived xenograft (PDX) tumor models initiated in avian chorioallantoic membranes (CAM) are under investigation to evaluate the effectiveness of therapeutic options with the objective of personalizing treatments. CAM PDXs paired with ultra‐high frequency ultrasound (UHFUS) imaging could potentially constitute prospective high throughput assays ...
Sara Mar, Emmanuel Chérin, Justin Xu, David E. Goertz, Hon S. Leong, Christine E.M. Demore   +5 more
wiley   +1 more source

Pinching Results for Submanifolds in Lorentzian–Sasakian Manifolds Endowed with a Semi-Symmetric Non-Metric Connection

Mathematics
We establish an improved Chen inequality involving scalar curvature and mean curvature and geometric inequalities for Casorati curvatures, on slant submanifolds in a Lorentzian–Sasakian space form endowed with a semi-symmetric non-metric connection. Also,
Mohammed Mohammed, Ion Mihai, Andreea Olteanu   +2 more
doaj   +1 more source

In silico modelling of multi‐electrode arrays for enhancing cardiac drug testing on hiPSC‐CM heterogeneous tissues

The Journal of Physiology, EarlyView.
Abstract figure legend Schematic overview of the experimental and computational framework for investigating hiPSC‐CM electrophysiology with MEA systems. The MEA‐based model integrates experimental data with phenotype‐specific ionic models and tissue‐level heterogeneity.
Sofia Botti, Rolf Krause, Luca F. Pavarino   +2 more
wiley   +1 more source