Some inequalities for submanifolds in a Riemannian manifold of nearly quasi-constant curvature
In this paper, we derive a DDVV-type inequality for submianifolds in a Riemannian manifold of nearly quasi-constant curvature. Moreover, two inequalities involving the Casorati curvature and the scalar curvature are obtained.
Man Su, Pan Zhang, Liang Zhang
core +1 more source
Inequalities for algebraic Casorati curvatures and their applications [PDF]
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
Bounds for generalized normalized δ-Casorati curvatures for submanifolds in Bochner Kaehler manifold
In this paper, we prove sharp inequalities between the normalized scalar curvature and the generalized normalized ?-Casorati curvatures for different submanifolds in Bochner Kaehler manifold. Moreover, We also characterize submanifolds on which the equalities hold.
Aquib, Mohd., Shahid, Mohammad Hasan
openaire +2 more sources
High‐Resolution Diffusion‐Weighted Imaging With Self‐Gated Self‐Supervised Unrolled Reconstruction
ABSTRACT Purpose High‐resolution diffusion‐weighted imaging (DWI) is clinically demanding. The purpose of this work is to develop an efficient self‐supervised algorithm unrolling technique for submillimeter‐resolution DWI. Methods We developed submillimeter DWI acquisition utilizing multi‐band multi‐shot EPI with diffusion shift encoding.
Zhengguo Tan +4 more
wiley +1 more source
Inequalities for algebraic Casorati curvatures and their applications
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. As a simple application, basic Casorati inequalities for different $δ$-Casorati curvatures for Riemannian submanifolds are presented ...
openaire +4 more sources
Boundary unique continuation in planar domains by conformal mapping
Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
wiley +1 more source
Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras
Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito +3 more
wiley +1 more source
Daphne Maugham Casorati: la pittura come misura umana del mondo
L'opera di Daphne Maugham Casorati, allieva e moglie di Felice Casorati, e la sua personale interpretazione del mondo attraverso la pittura, dagli anni della formazione a Parigi e Torino, alla tarda attività
LECCI, LEO
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Geometric modeling of phase ordering for the isotropic–smectic A phase transition
BackgroundLiquid crystal (LC) mesophases have an orientational and positional order that can be found in both synthetic and biological materials. These orders are maintained until some parameter, mainly the temperature or concentration, is changed ...
David Uriel Zamora Cisneros +4 more
doaj +1 more source
Optoacoustic‐Guided Magnetic Microrobot Platform for Precision Drug Delivery
Optoacoustically guided FePt@ZIF‐8‐based microrobots are designed with high drug loading capacity, controllable locomotion, and deep‐tissue imaging capability. By integrating navigation, drug release, and real‐time monitoring into a single platform, they provide a versatile tool for precise intervention, opening new possibilities for treating ...
Fan Wang +12 more
wiley +1 more source

