A Comprehensive Review of Golden Riemannian Manifolds

Abstract

In differential geometry, the concept of golden structure represents a compelling area with wide-ranging applications. The exploration of golden Riemannian manifolds was initiated by C. E. Hretcanu and M. Crasmareanu in 2008, following the principles of the golden structure. Subsequently, numerous researchers have contributed significant insights with respect to golden Riemannian manifolds. The purpose of this paper is to provide a comprehensive survey of research on golden Riemannian manifolds conducted over the past decade.

Keywords

• golden manifold
• golden structure
• lightlike submanifold
• warped product
• Chen invariant
• Chen inequality