Results 31 to 40 of about 4,848,832 (374)
Unit-sphere preserving mappings
Byungbae Kim, Soon-Mo Jung
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On contact numbers of totally separable unit sphere packings [PDF]
Károly Bezdek+2 more
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Area minimizing unit vector fields on antipodally punctured unit 2-sphere
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.+3 more
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Flag curvatures of the unit sphere in a Minkowski-Randers space [PDF]
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
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Characterizing non-totally geodesic spheres in a unit sphere
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+2 more
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A diameter gap for quotients of the unit sphere [PDF]
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+3 more
semanticscholar +1 more source
Sacrococcygeal Mass in a Newborn: A Quiz
is missing (Quiz)
Yannick Mukendi-Nkesu+4 more
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Extension of isometries from the unit sphere of a rank-2 Cartan factor [PDF]
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
Geometric permutations of disjoint unit spheres [PDF]
We show that a set of $n$ disjoint unit spheres in $R^d$ admits at most two distinct geometric permutations if $n \geq 9$, and at most three if $3 \leq n \leq 8$. This result improves a Helly-type theorem on line transversals for disjoint unit spheres in $R^3$: if any subset of size $18$ of a family of such spheres admits a line transversal, then there
Cheong, Otfried, Goaoc, X, Na, HS
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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+6 more
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