Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
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Some applications of signed distances in triangles and circles
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 64 - Trang 877-886 - 2022
We present generalizations of Carnot’s theorem and of the classical Erdös–Mordell inequality.
On the total perimeter of homothetic convex bodies in a convex container
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - - 2015
Induced structures on Golden Riemannian manifolds
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 59 - Trang 761-777 - 2018
We introduce the notion of Golden Riemannian manifolds of type (r, s) and starting from a Golden Riemannian structure, we construct some remarkable classes of the induced structures on Riemannian manifold. Concret examples are given.
Heisenberg groups over composition algebras
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 57 - Trang 667-677 - 2015
We solve the isomorphism problem for Heisenberg groups constructed over composition algebras, including the split case and characteristic two. We prove that two such groups are isomorphic if, and only if, the corresponding composition algebras are isomorphic as
$$\mathbb Z$$
......
Minimal surfaces in three dimensional Lorentzian Heisenberg group
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 55 Số 1 - Trang 1-23 - 2014
In this paper, we study the minimal and maximal surface in three dimensional Lorentzian Heisenberg group $$Heis_{3}$$ . We obtain characterizations of the one parameter subgroups in three dimensional Lorentzian Heisenberg group which is endowed with left invariant Lorentz metrics $$g_{1}, g_{2}, g_{3}$$ .
Notes on contact η-Einstein metrics as Ricci solitons
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 54 - Trang 567-573 - 2012
We prove that if the metric of an η-Einstein contact metric manifold is a non-trivial Ricci soliton, then it is K-contact.
Algebraic overshear density property
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - - Trang 1-18 - 2024
We introduce the notion of the algebraic overshear density property which implies both the algebraic notion of flexibility and the holomorphic notion of the density property. We investigate basic consequences of this stronger property, and propose further research directions in this borderland between affine algebraic geometry and elliptic holomorphic geometry. As an application, we show that any ......
On the ACCP in skew Poincaré–Birkhoff–Witt extensions
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 59 - Trang 625-643 - 2018
The objective of this paper is to investigate the ascending chain condition on principal left (resp. right) ideals of noncommutative rings known as skew PBW extensions. We consider these extensions over domains and over
$$\varSigma $$
-rigid rings......
Invariant rectification of non-smooth planar curves
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - - Trang 1-23 - 2023
We consider the problem of defining arc length for a plane curve invariant under a group action. Initially one partitions the curve and sums a distance function applied to consecutive support elements. Arc length then is defined as a limit of approximating distance function sums. Alternatively, arc length is defined using the integral that arises when applying the method to smooth curves. That the......
The theory of ordinal length
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - - 2016
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