Solitons Equipped with a Semi-Symmetric Metric Connection with Some Applications on Number Theory
Ali H. Hakami,
Mohd. Danish Siddiqi,
Aliya Naaz Siddiqui
et al.
Abstract:A solution to an evolution equation that evolves along symmetries of the equation is called a self-similar solution or soliton. In this manuscript, we present a study of η-Ricci solitons (η-RS) for an interesting manifold called the (ε)-Kenmotsu manifold ((ε)-KM), endowed with a semi-symmetric metric connection (briefly, a SSM-connection). We discuss Ricci and η-Ricci solitons with a SSM-connection satisfying certain curvature restrictions. In addition, we consider the characteristics of the gradient η-Ricci s… Show more
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