Results 1 to 10 of about 179 (100)

Japanese clinical practice guidelines for vascular tumors, vascular malformations, lymphatic malformations, and lymphangiomatosis 2022. [PDF]

open access: yesSurg Today
ABSTRACT The objective was to prepare guidelines to perform the current optimum treatment by organizing effective and efficient treatments of hemangiomas and vascular malformations, confirming the safety, and systematizing treatment, employing evidence‐based medicine techniques and aimed at improvement of the outcomes.
Kinoshita Y   +116 more
europepmc   +7 more sources

The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature [PDF]

open access: yesEntropy, 2020
We establish Chen inequality for the invariant δ ( 2 , 2 ) on statistical submanifolds in Hessian manifolds of constant Hessian curvature. Recently, in co-operation with Chen, we proved a Chen first inequality for such submanifolds.
Adela Mihai, Ion Mihai
doaj   +2 more sources

Publication Only [PDF]

open access: yesHemasphere
HemaSphere, Volume 10, Issue S1, June 2026.
europepmc   +2 more sources

A New Algebraic Inequality and Some Applications in Submanifold Theory

open access: yesMathematics, 2021
We give a simple proof of the Chen inequality involving the Chen invariant δ(k) of submanifolds in Riemannian space forms. We derive Chen’s first inequality and the Chen–Ricci inequality.
Ion Mihai, Radu-Ioan Mihai
doaj   +1 more source

Generalized Wintgen Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature

open access: yesMathematics, 2022
The geometry of Hessian manifolds is a fruitful branch of physics, statistics, Kaehlerian and affine differential geometry. The study of inequalities for statistical submanifolds in Hessian manifolds of constant Hessian curvature was truly initiated in ...
Aliya Naaz Siddiqui   +2 more
doaj   +1 more source

Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations

open access: yesJournal of Mathematics, 2021
In the present paper, we establish a Chen–Ricci inequality for a C-totally real warped product submanifold Mn of Sasakian space forms M2m+1ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via ...
Fatemah Mofarreh   +3 more
doaj   +1 more source

An Invariant of Riemannian Type for Legendrian Warped Product Submanifolds of Sasakian Space Forms

open access: yesMathematics, 2023
In the present paper, we investigate the geometry and topology of warped product Legendrian submanifolds in Sasakian space forms D2n+1(ϵ) and obtain the first Chen inequality that involves extrinsic invariants like the mean curvature and the length of ...
Fatemah Abdullah Alghamdi   +3 more
doaj   +1 more source

Improved Chen’s Inequalities for Submanifolds of Generalized Sasakian-Space-Forms

open access: yesAxioms, 2022
In this article, we derive Chen’s inequalities involving Chen’s δ-invariant δM, Riemannian invariant δ(m1,⋯,mk), Ricci curvature, Riemannian invariant Θk(2≤k≤m), the scalar curvature and the squared of the mean curvature for submanifolds of generalized ...
Yanlin Li   +3 more
doaj   +1 more source

Optimal Inequalities for Hemi-Slant Riemannian Submersions

open access: yesMathematics, 2022
In the present paper, we establish some basic inequalities involving the Ricci and scalar curvature of the vertical and the horizontal distributions for hemi-slant submersions having the total space a complex space form. We also discuss the equality case
Mehmet Akif Akyol   +3 more
doaj   +1 more source

Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature

open access: yesMathematics, 2018
We consider statistical submanifolds of Hessian manifolds of constant Hessian curvature. For such submanifolds we establish a Euler inequality and a Chen-Ricci inequality with respect to a sectional curvature of the ambient Hessian manifold.
Adela Mihai, Ion Mihai
doaj   +1 more source

Home - About - Disclaimer - Privacy