Results 31 to 40 of about 23,555 (114)

Inequalities for algebraic Casorati curvatures and their applications [PDF]

, 2017
The notion of different kind of algebraic Casorati curvatures are introduced. Some results expressing basic Casorati inequalities for algebraic Casorati curvatures are presented. Equality cases are also discussed.
Tripathi, Mukut Mani
core   +1 more source

Optimal inequalities for Riemannian maps and Riemannian submersions involving Casorati curvatures

Annali di Matematica Pura ed Applicata (1923 -), 2020
The authors consider Riemannian maps and Riemannian submersions to obtain optimal inequalities in the theory of Riemannian maps, Riemannian submersions to space forms. The method is based on Casorati curvature. The important results in this work are described in the following sections: Riemannian maps to real space forms, Riemannian maps to complex ...
Chul Woo Lee, Jae Won Lee, Bayram Şahin, Gabriel-Eduard Vîlcu   +3 more
openaire   +3 more sources

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

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

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

SubDIVIDE: Efficient tensor‐valued diffusion magnetic resonance imaging via joint diffusional variance decomposition modeling and subspace reconstruction

Journal of Intelligent Medicine, EarlyView.
SubDIVIDE integrates a physics‐consistent DIVIDE subspace directly into MRI reconstruction. By embedding a low‐rank basis derived from a large DIVIDE signal dictionary into a joint ADMM optimization—together with composite sensitivity maps that absorb inter‐b‐value phase errors—the framework recovers quantitative microstructural maps from highly ...
Cheng Yang, Jingguo Yan, Zihan Zhou, Zhong Xue, Qiuyun Fan   +4 more
wiley   +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

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

Respiratory‐Resolved Isotropic 3D T1 Mapping of the Carotid Vessel Wall With B1+ Correction (CARISMAT1C)

Magnetic Resonance in Medicine, Volume 97, Issue 1, Page 133-145, January 2027.
ABSTRACT Purpose To develop, optimize, and characterize a respiratory motion‐resolved free‐running isotropic 3D carotid vessel wall T1 mapping technique named CARISMAT1C. Methods An inversion‐recovery gradient‐echo free‐running pulse sequence with interleaved double flip‐angle (2FA) was implemented, and an extended‐phase‐graph dictionary was used to ...
Isabel Montón Quesada, Céline Hirsch, Pauline Calarnou, Jean‐Baptiste Ledoux, Jérôme Yerly, Christopher W. Roy, Augustin C. Ogier, Ruud B. van Heeswijk   +7 more
wiley   +1 more source

Multiple‐TE Based Blood–Brain‐Barrier Water Exchange Time Measurement Using a TE‐Resolved 3D TSE Stack‐Of‐Spirals Readout

Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1629-1644, October 2026.
ABSTRACT Purpose To develop a slice‐wise blurring‐free and densely sampled TE‐resolved multiple‐TE (mTE) ASL sequence (TASL) for measuring blood–brain barrier (BBB) water exchange time. Methods A 3D TSE spiral‐readout pCASL sequence was modified to enable TE‐resolved acquisition.
Bo Li, Yiran Li, Xiao Liang, Amnah Mahroo, Manuel Taso, Marta Vidorreta Díaz de Cerio, Lucas Lemos Franco, Yulin Chang, María Asunción Fernández Seara, Matthias Günther, John A. Detre, Ze Wang   +11 more
wiley   +1 more source