Results 41 to 50 of about 5,063,462 (161)
Rotational hypersurface in 4-Space [PDF]
, 2016 We consider rotational hypersurface in the four dimensional Euclidean space. We calculate the mean and the Gaussian curvature, and some relations of the rotational hypersurface.
Güler, Erhan +2 more
core +1 more source
On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
CR Approximation on a Non-Rigid Hypersurface Graph in Cn [PDF]
, 2004 Let M be a hypersurface in Cn that is the graph over a (2n − 1)-linear real space. The main result of the paper is that any CR function on M can be uniformly approximated on compact subsets by entire functions on ...
Dwilewicz, Roman +3 more
core +1 more source
BI-ROTATIONAL HYPERSURFACE WITH Δx=Ax IN 4-SPACE [PDF]
, 2022 We introduce the bi-rotational hypersurface $\mathbf{x(}u,v,w\mathbf{)}$ in the four dimensional Euclidean geometry ${\mathbb{E}}^{4}.$ We obtain the $i$-th curvatures of the hypersurface.
Yayli, Yusuf +4 more
core +2 more sources
, 2004 Given a real-valued continuous function defined on n-dimensional Euclidean space, we construct a Khalimsky-continuous integer-valued approximation. From a geometrical point of view, this digitization takes a hypersurface that is the graph of a function ...
Melin, Erik,
core +6 more sources
On nondegenerate orbits of 7-dimensional Lie algebras containing a 3-dimensional Abelian ideal
Современная математика: Фундаментальные направленияThis paper is related to the problem of describing homogeneous real hypersurfaces of multidimensional complex spaces as orbits of the action of Lie groups and algebras in these spaces.
A. V. Atanov, A. V. Loboda
doaj +1 more source
Thermodynamic geometry of three-dimensional Einstein–Maxwell-dilaton black hole
European Physical Journal C: Particles and Fields, 2018 The thermodynamics of a three-dimensional Einstein–Maxwell-dilaton black hole is investigated using the method of thermodynamic geometry. According to the definition of thermodynamic geometry and the first law of the black hole, two-dimensional Ruppeiner
Xin-Yang Wang, Ming Zhang, Wen-Biao Liu
doaj +1 more source
Proper affine deformations of positive representations
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract We define, for every positive Anosov representation of a nonabelian free group into SO(2n,2n−1)$\mathrm{SO}(2n,2n-1)$, a family of R4n−1$\mathbb {R}^{4n-1}$‐valued cocycles which induce proper affine actions on R4n−1$\mathbb {R}^{4n-1}$. We construct fundamental domains in R4n−1$\mathbb {R}^{4n-1}$ bounded by generalized crooked planes for ...
Jean‐Philippe Burelle +1 more
wiley +1 more source
Isoparametric and Dupin Hypersurfaces
Symmetry, Integrability and Geometry: Methods and Applications, 2008 A hypersurface $M^{n−1}$ in a real space-form $R^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For $R^n$ and $H^n$, the classification of isoparametric hypersurfaces is complete and relatively simple, but as Élie Cartan ...
Thomas E. Cecil
doaj +1 more source