We introduce a general Fibonacci sequence that generalizes, between others, both the
classic Fibonacci sequence and the Pell sequence. These general kth Fibonacci numbers …

The general k-Fibonacci sequence {Fk, n} n= 0∞ were found by studying the recursive
application of two geometrical transformations used in the well-known 4-triangle longest …

Our aim in this paper is to focus on some applications in differential geometry of the metallic
means family (a generalization of the golden mean) and generalized Fibonacci sequences …

It has been found that an almost complex structure of a contact metric manifold on frame
bundle (FM, g D, J) is an almost Hermitian manifold. The derivative and coderivative of the …

It is well known that 'an almost complex structure'J that is J2=− I on the manifold M is called
'an almost Hermitian manifold'(M, J, G) if G (JX, JY)= G (X, Y) and proved that (F2M, JD, GD) …

We provide a brief survey on the properties of submanifolds in metallic Riemannian
manifolds. We focus on slant, semi-slant and hemi-slant submanifolds in metallic …

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This paper introduces self-similarity inherent in planar Milich-Jennings centered flip graphs
derived from the Narayana sequence. We show that self-similarity found in a Narayana …

Earlier investigators have made detailed studies of geometric properties such as
integrability, partial integrability, and invariants, such as the fundamental 2-form, of some …

This paper studies several topics related with the concept of “fractional” that are not directly
related with Fractional Calculus, but can help the reader in pursuit new research directions …