Golden differential geometry

M Crasmareanu, CE Hreţcanu - Chaos, Solitons & Fractals, 2008 - Elsevier
… The Golden proportion has also interesting properties in topology of four-… geometry of the
Golden structure on a manifold by using a corresponding almost product structure. The Golden

Applications of the golden ratio on Riemannian manifolds

CE Hretcanu… - Turkish Journal of …, 2009 - journals.tubitak.gov.tr
… First, we establish several properties of the Golden Structure. Then we show that a
Golden Structure induces on every invariant submanifold a Golden Structure, too. This fact is …

[图书][B] " Golden" Non-euclidean Geometry, The: Hilbert's Fourth Problem," Golden" Dynamical Systems, And The Fine-structure Constant

A Stakhov, S Aranson - 2016 - books.google.com
… “golden” non-Euclidean geometry (hyperbolic and spherical), following from our original
solution to Hilbert’s Fourth Problem, the “golden” qualitative theory of differential … of the “golden” …

[图书][B] Aspects of Differential Geometry II

P Gilkey, JH Park, R Vázquez-Lorenzo - 2022 - books.google.com
… In Chapter 4, we examine the geometry of curves which are the solution space of a constant
coefficient ordinary differential equation. We give necessary and sufficient conditions that …

Conjectures regarding the nonlinear geometry of visual neurons

JR Golden, KP Vilankar, MCK Wu, DJ Field - Vision research, 2016 - Elsevier
… the non-linearities under a single geometric framework. In line with Zetzsche … geometry
where the neural response space has a simple curvature. In this paper, we focus on the geometry

The Generalized Principle of the Golden Section and its applications in mathematics, science, and engineering

AP Stakhov - Chaos, Solitons & Fractals, 2005 - Elsevier
… of the Golden Section. This one originates from the study of diagonal sums of the Pascal
triangle and is a sweeping generalization of the Dichotomy Principle and the classical Golden

[HTML][HTML] Differential Geometry and Its Application

MS Stanković - Axioms, 2024 - mdpi.com
… Potential authors are encouraged to submit papers that present new ideas in the field of
differential geometry, in addition to the above topics. Given the broad scope and widespread …

[图书][B] Golden Co-ordinate Geometry

NP Bali - 2008 - books.google.com
1.1. Co-ordinate Geometry. It is that branch of geometry which defines the position of a point
in a plane by a pair of algebraic numbers. It is also called Algebraic Geometry or Analytical …

A simple differential geometry for complex networks

E Saucan, A Samal, J Jost - Network Science, 2021 - cambridge.org
geometric class closest to graphs or networks, on which proper and consistent differential
geometry … , hence of the full force of the differential geometric apparatus, each discretization of …

[HTML][HTML] Hyperbolic Fibonacci and Lucas Functions,“Golden” Fibonacci Goniometry, Bodnar's Geometry, and Hilbert's Fourth Problem

A Stakhov, S Aranson - Applied Mathematics, 2011 - scirp.org
Geometric Theory of Phyl-lotaxis (Bodnar’s Geometry) and Hilbert’s Fourth Problem based
on the Hyperbolic Fibonacci and Lucas Functions and “Golden” … ideas—The “golden mean,” …