P. Wintgen proved in Sur l'inégalité de Chen-Willmore. CR Acad. Sci. Paris 288, 993–995
(1979) that the Gauss curvature G and the normal curvature K^D of a surface in the …

Abstract The theory of $\delta $-invariants, initiated by the author in the early 1990s, is a
challenging topic in modern differential geometry, having a lot of applications. In the spirit of …

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 …

The main purpose of the present paper is to study the geometry of Riemannian manifolds
endowed with Golden structures. We discuss the problem of integrability for Golden …

Abstract The Golden Ratio is a fascinating topic that continually generates new ideas. The
main purpose of the present paper is to point out and find some applications of the Golden …

The theory of Cantorian spacetime and high energy particle physics (an informal review) -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

The aim of our paper is to focus on some properties of submanifolds in Riemannian
manifolds endowed with endomorphisms that generalize the Golden Riemannian structure …

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 …

We introduce lightlike hypersurfaces of a golden semi-Riemannian manifold. We investigate
several properties of lightlike hypersurfaces of a golden semi-Riemannian manifold. We …

The aim of our paper is to focus on some properties of slant and semi‐slant submanifolds of
metallic Riemannian manifolds. We give some characterizations for submanifolds to be slant …