Results 21 to 30 of about 441 (50)

Projective Cross-Ratio on Hypercomplex Numbers

open access: yes, 2012
The paper presents a new cross-ratio of hypercomplex numbers based on projective geometry. We discuss the essential properties of the projective cross-ratio, notably its invariance under Mobius transformations.
Brewer, Sky
core   +1 more source

Timelike Bertrand Curves in Semi-Euclidean Space [PDF]

open access: yes, 2010
In this paper, it is proved that, no special timelike Frenet curve is a Bertrand curve in $\mathbb{E}_2^4$ and also, in $\mathbb{E}_\nu^{n+1}$ $ ({n \ge 3})$, such that the notion of Bertrand curve is definite only in $\mathbb{E}_1^2$ and $\mathbb{E}_1^3$
Ersoy, Soley, Tosun, Murat
core  

Mannheim curves with modified orthogonal frame in Euclidean 3-space

open access: yes, 2018
In this paper, we investigate Mannheim pairs, Frenet-Mannheim curves and Weakened Mannheim curves with respect to the modified orthogonal frame in Euclidean 3-space(E 3 ).
Bukcu, Bahaddin   +3 more
core   +1 more source

The Rosenthal-Szasz inequality for normed planes

open access: yes, 2018
We aim to study the classical Rosenthal-Szasz inequality for a plane whose geometry is given by a norm. This inequality states that the bodies of constant width have the largest perimeter among all planar convex bodies of given diameter.
Balestro, Vitor, Martini, Horst
core  

Discrete cyclic systems and circle congruences. [PDF]

open access: yesAnn Mat Pura Appl, 2022
Hertrich-Jeromin U, Szewieczek G.
europepmc   +1 more source

Information geometry for phylogenetic trees. [PDF]

open access: yesJ Math Biol, 2021
Garba MK, Nye TMW, Lueg J, Huckemann SF.
europepmc   +1 more source

Quasi-minimal rotational surfaces in pseudo-Euclidean four-dimensional space

open access: yesOpen Mathematics, 2014
Ganchev Georgi, Milousheva Velichka
doaj   +1 more source

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