Results 11 to 20 of about 39 (38)

Geometric invariants properties of osculating curves under conformal transformation in Euclidean space ℝ3

open access: yesDemonstratio Mathematica
An osculating curve is a type of curve in space that holds significance in the study of differential geometry. In this article, we investigate certain geometric invariants of osculating curves on smooth and regularly immersed surfaces under conformal ...
Singh Kuljeet   +2 more
doaj   +1 more source

The discriminant of quasi m-boundary singularities

open access: yesDemonstratio Mathematica
We describe the discriminant of deformations of simple quasi m-boundary equivalence classes for m≥2m\ge 2. All quasi simple mm-boundary classes are right equivalent to Arnold’s singularities (ADE).
Alharbi Fawaz, Al-hudhali Eman
doaj   +1 more source

Behavior of spatial curves under different transformations in Euclidean 4-space

open access: yesDemonstratio Mathematica
This study investigates the conditions under which various curves maintain their characteristics when mapped between two regular surfaces in four-dimensional Euclidean space E4{{\mathbb{E}}}^{4}.
Badyal Pushpinder   +2 more
doaj   +1 more source

Some aspects of normal curve on smooth surface under isometry

open access: yesDemonstratio Mathematica
The normal curve is a space curve that plays an important role in the field of differential geometry. This research focuses on analyzing the properties of normal curves on smooth immersed surfaces, considering their invariance under isometric ...
Singh Kuljeet   +2 more
doaj   +1 more source

The mixed Lp affine surface areas for functions

open access: yes, 2019
In this paper, we propose a definition of a general mixed Lp affine surface area, -n ≠ p ∈ ℝ, for multiple functions. Our denfiition is different from and is "dual" to the one in [11] by Caglar and Ye.
Zhu, Baocheng, Xing, Sudan
core  

Local Classification of Centroaffine Tchebychev Surfaces with Constant Curvature Metric

open access: yes, 2007
We examine the centroaffine geometry of Tchebychev surfaces. We introduce regular and singular surfaces. By understanding the local integrability conditions, we will classify the centroaffine Tchebychev surfaces of constant curvature metric.
Thomas Binder
core  

Cubic Forms Generated By Functions on Projectively Flat Spaces

open access: yes, 1998
We study third order Codazzi tensor fields relative to projectively flat connections. We construct such tensors from functions. This construction obeys a simple transformation law within a fixed projective class.
Judith Leder
core  

Novel Association of Thrombophilic PROS1, PROC and CPB2 Genes Polymorphisms with Recurrent Spontaneous Miscarriage Women in Jordan. [PDF]

open access: yesClin Appl Thromb Hemost
Al-Sanabra OM   +5 more
europepmc   +1 more source
Some of the next articles are maybe not open access.

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Affine hypersurfaces with parallel cubic forms

Tohoku Mathematical Journal, 1990
Katsumi Nomizu, Udo Simon
exaly  

On the divergences of $1$-conformally flat statistical manifolds

Tohoku Mathematical Journal, 1994
Takashi Kurose
exaly  

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