Results 61 to 70 of about 290 (118)

On Gaps in the Orders of Complete Groups of Isometry and Homoteties in Specialized Riemannian Spaces and Metrics of the Most Mobile of These Spaces of the First Six Lacunars

open access: yesДоклады Белорусского государственного университета информатики и радиоэлектроники
In the present paper there are considered metric Riemannian spaces  Vn4a,  in the metrics of which four algebraic structures work at once: real numbers  Dm1 and  complex numbers  Cm2, quaternions  Hm3 and octions  Om4.
Z. N. Chetyrkina
doaj  

A homogeneous Gibbons–Hawking ansatz and Blaschke products [PDF]

open access: yes, 2010
A homogeneous Gibbons–Hawking ansatz is described, leading to 4-dimensional hyperkähler metrics with homotheties. In combination with Blaschke products on the unit disc in the complex plane, this ansatz allows one to construct infinite-dimensional ...
Jesús Gonzalo Pérez   +3 more
core   +1 more source

A Bound for the Torsion on Subvarieties of Abelian Varieties

open access: yes
International audienceWe give a uniform bound on the degree of the maximal torsion cosets for subvarieties of an abelian variety. The proof combines algebraic interpolation and a theorem of Serre on homotheties in the Galois representation associated to ...
Galateau, Aurélien, Martínez, César
core   +2 more sources

A new characterization of the Wulff Shape

open access: yes
We prove a new charcaterization of the Wulff shape in termes of higher order anisotropic mean curvatures. Namely, if a closed, connnected and oriented hypersurface of the Euclidean space has a constant higher order anisotropic mean curvature H F r and ...
Roth, Julien
core   +2 more sources

Approximating Convex Shapes With Respect to Symmetric Difference Under Homotheties.

open access: yes, 2016
The symmetric difference is a robust operator for measuring the error of approximating one shape by another. Given two convex shapes P and C, we study the problem of minimizing the volume of their symmetric difference under all possible scalings and translations of C. We prove that the problem can be solved by convex programming.
Juyoung Yon   +4 more
openaire   +4 more sources

Design and implementation of a task sequence for teaching homothety

open access: yesEurasia Journal of Mathematics, Science and Technology Education
The teaching of geometry in Chile faces several challenges, as evidenced by the low performance of students in international assessments. In particular, the concept of homothety is impacted by teaching methodologies that emphasize rote memorization and procedural repetition rather than conceptual understanding.
Yenifer Aguilera Moraga   +2 more
openaire   +1 more source

Curvature-driven morphing of non-Euclidean shells. [PDF]

open access: yesProc Math Phys Eng Sci, 2017
Pezzulla M, Stoop N, Jiang X, Holmes DP.
europepmc   +1 more source

Half conformally flat gradient Ricci almost solitons. [PDF]

open access: yesProc Math Phys Eng Sci, 2016
Brozos-Vázquez M   +2 more
europepmc   +1 more source

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