Results 11 to 20 of about 4,186,989 (310)

Area minimizing unit vector fields on antipodally punctured unit 2-sphere

Comptes Rendus. Mathématique, 2022
We provide a lower value for the volume of a unit vector field tangent to an antipodally punctured Euclidean sphere $\mathbb{S}^2$ depending on the length of an ellipse determined by the indexes of its singularities.
Brito, Fabiano G. B., Conrado, Jackeline, Gonçalves, Icaro, Nicoli, Adriana V.   +3 more
doaj   +1 more source

On Minimal Hypersurfaces of a Unit Sphere

Mathematics, 2021
Minimal compact hypersurface in the unit sphere Sn+1 having squared length of shape operator A22), provided the scalar curvature τ is a constant on integral curves of w.
Amira Ishan, Sharief Deshmukh, Ibrahim Al-Dayel, Cihan Özgür   +3 more
doaj   +1 more source

Sacrococcygeal Mass in a Newborn: A Quiz

Acta Dermato-Venereologica, 2022
is missing (Quiz)
Yannick Mukendi-Nkesu, Marie-Christine Machet, Aurélien Binet, Émiliène Édée, Annabel Maruani   +4 more
doaj   +1 more source

Extension of isometries from the unit sphere of a rank-2 Cartan factor [PDF]

, 2019
We prove that every surjective isometry from the unit sphere of a rank-2 Cartan factor C onto the unit sphere of a real Banach space Y , admits an extension to a surjective real linear isometry from C onto Y . The conclusion also covers the case in which
Ondvrej F. K. Kalenda, A. M. Peralta
semanticscholar   +1 more source

A diameter gap for quotients of the unit sphere [PDF]

Journal of the European Mathematical Society (Print), 2019
We prove that for any isometric action of a group on a unit sphere of dimension larger than one, the quotient space has diameter zero or larger than a universal dimension-independent positive constant.
Claudio Gorodski, Christian Lange, A. Lytchak, R. Mendes   +3 more
semanticscholar   +1 more source

Characterizing non-totally geodesic spheres in a unit sphere

AIMS Mathematics, 2023
A concircular vector field $ \mathbf{u} $ on the unit sphere $ \mathbf{S}^{n+1} $ induces a vector field $ \mathbf{w} $ on an orientable hypersurface $ M $ of the unit sphere $ \mathbf{S}^{n+1} $, simply called the induced vector field on the ...
Ibrahim Al-Dayel, Sharief Deshmukh , Olga Belova   +2 more
doaj   +1 more source

Near-Isometries of the Unit Sphere

Ukrainian Mathematical Journal, 2020
We approximate ε -isometries of the unit sphere in ℓ 2 n $$ {\ell}_2^n $$ and ℓ ∞ n $$ {\ell}_{\infty}^n $$ by linear isometries.
I. A. Vestfrid
semanticscholar   +1 more source

Nikolskii constants for polynomials on the unit sphere [PDF]

Journal d'Analyse Mathematique, 2017
This paper studies the asymptotic behavior of the exact constants of the Nikolskii inequalities for the space $$\Pi _n^d$$ Π n d of spherical polynomials of degree at most n on the unit sphere $$\mathbb{S}{^d} \subset {^{d + 1}}$$ S d ⊂ ℝ d + 1 as n → ∞.
F. Dai, D. Gorbachev, S. Tikhonov
semanticscholar   +1 more source

How to Investigate the Effects of Groups on Changes in Longitudinal Patient-Reported Outcomes and Response Shift Using Rasch Models

Frontiers in Psychology, 2020
In order to investigate patients’ experience of healthcare, repeated assessments of patient-reported outcomes (PRO) are increasingly performed in observational studies and clinical trials.
Karima Hammas, Véronique Sébille, Véronique Sébille, Priscilla Brisson, Jean-Benoit Hardouin, Jean-Benoit Hardouin, Myriam Blanchin   +6 more
doaj   +1 more source

Flag curvatures of the unit sphere in a Minkowski-Randers space [PDF]

AUT Journal of Mathematics and Computing, 2021
On a real vector space $V$, a Randers norm $\hat{F}$ is defined by $\hat{F}=\hat{\alpha}+\hat{\beta}$, where $\hat{\alpha}$ is a Euclidean norm and $\hat{\beta}$ is a covector.
Libing Huang, Haibin Su
doaj   +1 more source